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Finding the Fourth Proportional to 5,005.57, 7,513.06 and 2,542.16

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Solution

The fourth proportional to 5,005.57, 7,513.06 and 2,542.16 is: 3,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.57 : 7,513.06 = 2,542.16 : x
  2. Step 2: Convert to fraction form
    5,005.57/7,513.06 = 2,542.16/x
  3. Step 3: Cross multiply
    5,005.57x = 7,513.06 × 2,542.16
  4. Step 4: Simplify right side
    5,005.57x = 19,099,400.61
  5. Step 5: Solve for x
    x = 19,099,400.61/5,005.57
  6. Step 6: Final answer
    x = 3,815.63

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