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Finding the Fourth Proportional to 5,585.41, 7,702.45 and 3,772.43

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Solution

The fourth proportional to 5,585.41, 7,702.45 and 3,772.43 is: 5,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.41 : 7,702.45 = 3,772.43 : x
  2. Step 2: Convert to fraction form
    5,585.41/7,702.45 = 3,772.43/x
  3. Step 3: Cross multiply
    5,585.41x = 7,702.45 × 3,772.43
  4. Step 4: Simplify right side
    5,585.41x = 29,056,948.54
  5. Step 5: Solve for x
    x = 29,056,948.54/5,585.41
  6. Step 6: Final answer
    x = 5,202.29

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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.