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Finding the Fourth Proportional to 5,174.32, 7,763.76 and 1,711.57

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Solution

The fourth proportional to 5,174.32, 7,763.76 and 1,711.57 is: 2,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.32 : 7,763.76 = 1,711.57 : x
  2. Step 2: Convert to fraction form
    5,174.32/7,763.76 = 1,711.57/x
  3. Step 3: Cross multiply
    5,174.32x = 7,763.76 × 1,711.57
  4. Step 4: Simplify right side
    5,174.32x = 13,288,171.33
  5. Step 5: Solve for x
    x = 13,288,171.33/5,174.32
  6. Step 6: Final answer
    x = 2,568.10

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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.