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Finding the Fourth Proportional to 3,770.13, 5,654.58 and 2,671.16

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Solution

The fourth proportional to 3,770.13, 5,654.58 and 2,671.16 is: 4,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.13 : 5,654.58 = 2,671.16 : x
  2. Step 2: Convert to fraction form
    3,770.13/5,654.58 = 2,671.16/x
  3. Step 3: Cross multiply
    3,770.13x = 5,654.58 × 2,671.16
  4. Step 4: Simplify right side
    3,770.13x = 15,104,287.91
  5. Step 5: Solve for x
    x = 15,104,287.91/3,770.13
  6. Step 6: Final answer
    x = 4,006.30

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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.