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Finding the Fourth Proportional to 4,671.60, 6,443.42 and 3,176.86

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Solution

The fourth proportional to 4,671.60, 6,443.42 and 3,176.86 is: 4,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.60 : 6,443.42 = 3,176.86 : x
  2. Step 2: Convert to fraction form
    4,671.60/6,443.42 = 3,176.86/x
  3. Step 3: Cross multiply
    4,671.60x = 6,443.42 × 3,176.86
  4. Step 4: Simplify right side
    4,671.60x = 20,469,843.26
  5. Step 5: Solve for x
    x = 20,469,843.26/4,671.60
  6. Step 6: Final answer
    x = 4,381.76

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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.