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Finding the Fourth Proportional to 5,932.58, 8,177.54 and 4,671.64

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Solution

The fourth proportional to 5,932.58, 8,177.54 and 4,671.64 is: 6,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.58 : 8,177.54 = 4,671.64 : x
  2. Step 2: Convert to fraction form
    5,932.58/8,177.54 = 4,671.64/x
  3. Step 3: Cross multiply
    5,932.58x = 8,177.54 × 4,671.64
  4. Step 4: Simplify right side
    5,932.58x = 38,202,522.97
  5. Step 5: Solve for x
    x = 38,202,522.97/5,932.58
  6. Step 6: Final answer
    x = 6,439.45

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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.