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Finding the Fourth Proportional to 5,537.92, 7,648.71 and 4,032.21

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Solution

The fourth proportional to 5,537.92, 7,648.71 and 4,032.21 is: 5,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.92 : 7,648.71 = 4,032.21 : x
  2. Step 2: Convert to fraction form
    5,537.92/7,648.71 = 4,032.21/x
  3. Step 3: Cross multiply
    5,537.92x = 7,648.71 × 4,032.21
  4. Step 4: Simplify right side
    5,537.92x = 30,841,216.09
  5. Step 5: Solve for x
    x = 30,841,216.09/5,537.92
  6. Step 6: Final answer
    x = 5,569.10

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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.