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Finding the Fourth Proportional to 5,167.98, 7,751.88 and 1,470.24

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Solution

The fourth proportional to 5,167.98, 7,751.88 and 1,470.24 is: 2,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.98 : 7,751.88 = 1,470.24 : x
  2. Step 2: Convert to fraction form
    5,167.98/7,751.88 = 1,470.24/x
  3. Step 3: Cross multiply
    5,167.98x = 7,751.88 × 1,470.24
  4. Step 4: Simplify right side
    5,167.98x = 11,397,124.05
  5. Step 5: Solve for x
    x = 11,397,124.05/5,167.98
  6. Step 6: Final answer
    x = 2,205.33

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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.