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Finding the Fourth Proportional to 5,098.68, 7,637.49 and 4,729.59

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Solution

The fourth proportional to 5,098.68, 7,637.49 and 4,729.59 is: 7,084.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.68 : 7,637.49 = 4,729.59 : x
  2. Step 2: Convert to fraction form
    5,098.68/7,637.49 = 4,729.59/x
  3. Step 3: Cross multiply
    5,098.68x = 7,637.49 × 4,729.59
  4. Step 4: Simplify right side
    5,098.68x = 36,122,196.33
  5. Step 5: Solve for x
    x = 36,122,196.33/5,098.68
  6. Step 6: Final answer
    x = 7,084.62

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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.