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Finding the Fourth Proportional to 5,113.67, 7,057.24 and 3,124.61

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Solution

The fourth proportional to 5,113.67, 7,057.24 and 3,124.61 is: 4,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.67 : 7,057.24 = 3,124.61 : x
  2. Step 2: Convert to fraction form
    5,113.67/7,057.24 = 3,124.61/x
  3. Step 3: Cross multiply
    5,113.67x = 7,057.24 × 3,124.61
  4. Step 4: Simplify right side
    5,113.67x = 22,051,106.04
  5. Step 5: Solve for x
    x = 22,051,106.04/5,113.67
  6. Step 6: Final answer
    x = 4,312.19

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