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Finding the Fourth Proportional to 3,701.64, 5,107.77 and 2,377.14

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Solution

The fourth proportional to 3,701.64, 5,107.77 and 2,377.14 is: 3,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.64 : 5,107.77 = 2,377.14 : x
  2. Step 2: Convert to fraction form
    3,701.64/5,107.77 = 2,377.14/x
  3. Step 3: Cross multiply
    3,701.64x = 5,107.77 × 2,377.14
  4. Step 4: Simplify right side
    3,701.64x = 12,141,890.21
  5. Step 5: Solve for x
    x = 12,141,890.21/3,701.64
  6. Step 6: Final answer
    x = 3,280.14

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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.