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Finding the Fourth Proportional to 5,932.71, 8,177.72 and 4,671.77

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Solution

The fourth proportional to 5,932.71, 8,177.72 and 4,671.77 is: 6,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.71 : 8,177.72 = 4,671.77 : x
  2. Step 2: Convert to fraction form
    5,932.71/8,177.72 = 4,671.77/x
  3. Step 3: Cross multiply
    5,932.71x = 8,177.72 × 4,671.77
  4. Step 4: Simplify right side
    5,932.71x = 38,204,362.72
  5. Step 5: Solve for x
    x = 38,204,362.72/5,932.71
  6. Step 6: Final answer
    x = 6,439.61

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