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Finding the Fourth Proportional to 5,223.12, 7,207.84 and 2,865.22

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Solution

The fourth proportional to 5,223.12, 7,207.84 and 2,865.22 is: 3,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.12 : 7,207.84 = 2,865.22 : x
  2. Step 2: Convert to fraction form
    5,223.12/7,207.84 = 2,865.22/x
  3. Step 3: Cross multiply
    5,223.12x = 7,207.84 × 2,865.22
  4. Step 4: Simplify right side
    5,223.12x = 20,652,047.32
  5. Step 5: Solve for x
    x = 20,652,047.32/5,223.12
  6. Step 6: Final answer
    x = 3,953.97

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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.