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Finding the Fourth Proportional to 3,542.78, 5,315.07 and 2,083.16

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Solution

The fourth proportional to 3,542.78, 5,315.07 and 2,083.16 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.78 : 5,315.07 = 2,083.16 : x
  2. Step 2: Convert to fraction form
    3,542.78/5,315.07 = 2,083.16/x
  3. Step 3: Cross multiply
    3,542.78x = 5,315.07 × 2,083.16
  4. Step 4: Simplify right side
    3,542.78x = 11,072,141.22
  5. Step 5: Solve for x
    x = 11,072,141.22/3,542.78
  6. Step 6: Final answer
    x = 3,125.27

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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.