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Finding the Fourth Proportional to 5,098.07, 7,644.11 and 2,727.47

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Solution

The fourth proportional to 5,098.07, 7,644.11 and 2,727.47 is: 4,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.07 : 7,644.11 = 2,727.47 : x
  2. Step 2: Convert to fraction form
    5,098.07/7,644.11 = 2,727.47/x
  3. Step 3: Cross multiply
    5,098.07x = 7,644.11 × 2,727.47
  4. Step 4: Simplify right side
    5,098.07x = 20,849,086.17
  5. Step 5: Solve for x
    x = 20,849,086.17/5,098.07
  6. Step 6: Final answer
    x = 4,089.60

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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.