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Finding the Fourth Proportional to 5,098.53, 7,641.32 and 2,787.33

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Solution

The fourth proportional to 5,098.53, 7,641.32 and 2,787.33 is: 4,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.53 : 7,641.32 = 2,787.33 : x
  2. Step 2: Convert to fraction form
    5,098.53/7,641.32 = 2,787.33/x
  3. Step 3: Cross multiply
    5,098.53x = 7,641.32 × 2,787.33
  4. Step 4: Simplify right side
    5,098.53x = 21,298,866.54
  5. Step 5: Solve for x
    x = 21,298,866.54/5,098.53
  6. Step 6: Final answer
    x = 4,177.45

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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.