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Finding the Fourth Proportional to 5,312.46, 7,966.86 and 2,542.26

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Solution

The fourth proportional to 5,312.46, 7,966.86 and 2,542.26 is: 3,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.46 : 7,966.86 = 2,542.26 : x
  2. Step 2: Convert to fraction form
    5,312.46/7,966.86 = 2,542.26/x
  3. Step 3: Cross multiply
    5,312.46x = 7,966.86 × 2,542.26
  4. Step 4: Simplify right side
    5,312.46x = 20,253,829.50
  5. Step 5: Solve for x
    x = 20,253,829.50/5,312.46
  6. Step 6: Final answer
    x = 3,812.51

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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.