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Finding the Fourth Proportional to 5,107.68, 7,660.38 and 2,475.09

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Solution

The fourth proportional to 5,107.68, 7,660.38 and 2,475.09 is: 3,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.68 : 7,660.38 = 2,475.09 : x
  2. Step 2: Convert to fraction form
    5,107.68/7,660.38 = 2,475.09/x
  3. Step 3: Cross multiply
    5,107.68x = 7,660.38 × 2,475.09
  4. Step 4: Simplify right side
    5,107.68x = 18,960,129.93
  5. Step 5: Solve for x
    x = 18,960,129.93/5,107.68
  6. Step 6: Final answer
    x = 3,712.08

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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.