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Finding the Fourth Proportional to 3,482.22, 5,223.54 and 1,402.22

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Solution

The fourth proportional to 3,482.22, 5,223.54 and 1,402.22 is: 2,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.22 : 5,223.54 = 1,402.22 : x
  2. Step 2: Convert to fraction form
    3,482.22/5,223.54 = 1,402.22/x
  3. Step 3: Cross multiply
    3,482.22x = 5,223.54 × 1,402.22
  4. Step 4: Simplify right side
    3,482.22x = 7,324,552.26
  5. Step 5: Solve for x
    x = 7,324,552.26/3,482.22
  6. Step 6: Final answer
    x = 2,103.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.