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Finding the Fourth Proportional to 5,109.66, 7,660.98 and 2,475.72

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Solution

The fourth proportional to 5,109.66, 7,660.98 and 2,475.72 is: 3,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.66 : 7,660.98 = 2,475.72 : x
  2. Step 2: Convert to fraction form
    5,109.66/7,660.98 = 2,475.72/x
  3. Step 3: Cross multiply
    5,109.66x = 7,660.98 × 2,475.72
  4. Step 4: Simplify right side
    5,109.66x = 18,966,441.41
  5. Step 5: Solve for x
    x = 18,966,441.41/5,109.66
  6. Step 6: Final answer
    x = 3,711.88

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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.