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Finding the Fourth Proportional to 5,170.88, 7,754.88 and 1,472.80

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Solution

The fourth proportional to 5,170.88, 7,754.88 and 1,472.80 is: 2,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.88 : 7,754.88 = 1,472.80 : x
  2. Step 2: Convert to fraction form
    5,170.88/7,754.88 = 1,472.80/x
  3. Step 3: Cross multiply
    5,170.88x = 7,754.88 × 1,472.80
  4. Step 4: Simplify right side
    5,170.88x = 11,421,387.26
  5. Step 5: Solve for x
    x = 11,421,387.26/5,170.88
  6. Step 6: Final answer
    x = 2,208.79

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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.