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Finding the Fourth Proportional to 5,707.22, 7,875.33 and 3,223.22

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Solution

The fourth proportional to 5,707.22, 7,875.33 and 3,223.22 is: 4,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.22 : 7,875.33 = 3,223.22 : x
  2. Step 2: Convert to fraction form
    5,707.22/7,875.33 = 3,223.22/x
  3. Step 3: Cross multiply
    5,707.22x = 7,875.33 × 3,223.22
  4. Step 4: Simplify right side
    5,707.22x = 25,383,921.16
  5. Step 5: Solve for x
    x = 25,383,921.16/5,707.22
  6. Step 6: Final answer
    x = 4,447.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.