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Finding the Fourth Proportional to 5,170.53, 7,757.01 and 1,472.81

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Solution

The fourth proportional to 5,170.53, 7,757.01 and 1,472.81 is: 2,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.53 : 7,757.01 = 1,472.81 : x
  2. Step 2: Convert to fraction form
    5,170.53/7,757.01 = 1,472.81/x
  3. Step 3: Cross multiply
    5,170.53x = 7,757.01 × 1,472.81
  4. Step 4: Simplify right side
    5,170.53x = 11,424,594.53
  5. Step 5: Solve for x
    x = 11,424,594.53/5,170.53
  6. Step 6: Final answer
    x = 2,209.56

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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.