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Finding the Fourth Proportional to 5,663.25, 8,498.31 and 3,580.38

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Solution

The fourth proportional to 5,663.25, 8,498.31 and 3,580.38 is: 5,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.25 : 8,498.31 = 3,580.38 : x
  2. Step 2: Convert to fraction form
    5,663.25/8,498.31 = 3,580.38/x
  3. Step 3: Cross multiply
    5,663.25x = 8,498.31 × 3,580.38
  4. Step 4: Simplify right side
    5,663.25x = 30,427,179.16
  5. Step 5: Solve for x
    x = 30,427,179.16/5,663.25
  6. Step 6: Final answer
    x = 5,372.74

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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.