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Finding the Fourth Proportional to 4,306.64, 5,943.17 and 2,489.94

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Solution

The fourth proportional to 4,306.64, 5,943.17 and 2,489.94 is: 3,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.64 : 5,943.17 = 2,489.94 : x
  2. Step 2: Convert to fraction form
    4,306.64/5,943.17 = 2,489.94/x
  3. Step 3: Cross multiply
    4,306.64x = 5,943.17 × 2,489.94
  4. Step 4: Simplify right side
    4,306.64x = 14,798,142.93
  5. Step 5: Solve for x
    x = 14,798,142.93/4,306.64
  6. Step 6: Final answer
    x = 3,436.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.