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Finding the Fourth Proportional to 6,589.25, 9,881.13 and 2,429.49

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Solution

The fourth proportional to 6,589.25, 9,881.13 and 2,429.49 is: 3,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.25 : 9,881.13 = 2,429.49 : x
  2. Step 2: Convert to fraction form
    6,589.25/9,881.13 = 2,429.49/x
  3. Step 3: Cross multiply
    6,589.25x = 9,881.13 × 2,429.49
  4. Step 4: Simplify right side
    6,589.25x = 24,006,106.52
  5. Step 5: Solve for x
    x = 24,006,106.52/6,589.25
  6. Step 6: Final answer
    x = 3,643.23

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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.