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Finding the Fourth Proportional to 5,706.32, 8,553.33 and 3,731.20

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Solution

The fourth proportional to 5,706.32, 8,553.33 and 3,731.20 is: 5,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.32 : 8,553.33 = 3,731.20 : x
  2. Step 2: Convert to fraction form
    5,706.32/8,553.33 = 3,731.20/x
  3. Step 3: Cross multiply
    5,706.32x = 8,553.33 × 3,731.20
  4. Step 4: Simplify right side
    5,706.32x = 31,914,163.51
  5. Step 5: Solve for x
    x = 31,914,163.51/5,706.32
  6. Step 6: Final answer
    x = 5,592.78

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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.