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Finding the Fourth Proportional to 6,589.53, 9,881.87 and 2,428.47

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Solution

The fourth proportional to 6,589.53, 9,881.87 and 2,428.47 is: 3,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.53 : 9,881.87 = 2,428.47 : x
  2. Step 2: Convert to fraction form
    6,589.53/9,881.87 = 2,428.47/x
  3. Step 3: Cross multiply
    6,589.53x = 9,881.87 × 2,428.47
  4. Step 4: Simplify right side
    6,589.53x = 23,997,812.70
  5. Step 5: Solve for x
    x = 23,997,812.70/6,589.53
  6. Step 6: Final answer
    x = 3,641.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.