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Finding the Fourth Proportional to 5,170.96, 7,754.14 and 1,472.35

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Solution

The fourth proportional to 5,170.96, 7,754.14 and 1,472.35 is: 2,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.96 : 7,754.14 = 1,472.35 : x
  2. Step 2: Convert to fraction form
    5,170.96/7,754.14 = 1,472.35/x
  3. Step 3: Cross multiply
    5,170.96x = 7,754.14 × 1,472.35
  4. Step 4: Simplify right side
    5,170.96x = 11,416,784.96
  5. Step 5: Solve for x
    x = 11,416,784.96/5,170.96
  6. Step 6: Final answer
    x = 2,207.87

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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.