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Finding the Fourth Proportional to 4,339.92, 6,502.64 and 4,177.92

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Solution

The fourth proportional to 4,339.92, 6,502.64 and 4,177.92 is: 6,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.92 : 6,502.64 = 4,177.92 : x
  2. Step 2: Convert to fraction form
    4,339.92/6,502.64 = 4,177.92/x
  3. Step 3: Cross multiply
    4,339.92x = 6,502.64 × 4,177.92
  4. Step 4: Simplify right side
    4,339.92x = 27,167,509.71
  5. Step 5: Solve for x
    x = 27,167,509.71/4,339.92
  6. Step 6: Final answer
    x = 6,259.91

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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.