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Finding the Fourth Proportional to 4,349.38, 6,512.46 and 2,497.72

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Solution

The fourth proportional to 4,349.38, 6,512.46 and 2,497.72 is: 3,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.38 : 6,512.46 = 2,497.72 : x
  2. Step 2: Convert to fraction form
    4,349.38/6,512.46 = 2,497.72/x
  3. Step 3: Cross multiply
    4,349.38x = 6,512.46 × 2,497.72
  4. Step 4: Simplify right side
    4,349.38x = 16,266,301.59
  5. Step 5: Solve for x
    x = 16,266,301.59/4,349.38
  6. Step 6: Final answer
    x = 3,739.91

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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.