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Finding the Fourth Proportional to 3,382.17, 4,658.72 and 2,385.70

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Solution

The fourth proportional to 3,382.17, 4,658.72 and 2,385.70 is: 3,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.17 : 4,658.72 = 2,385.70 : x
  2. Step 2: Convert to fraction form
    3,382.17/4,658.72 = 2,385.70/x
  3. Step 3: Cross multiply
    3,382.17x = 4,658.72 × 2,385.70
  4. Step 4: Simplify right side
    3,382.17x = 11,114,284.73
  5. Step 5: Solve for x
    x = 11,114,284.73/3,382.17
  6. Step 6: Final answer
    x = 3,286.14

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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.