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Finding the Fourth Proportional to 4,748.30, 7,114.17 and 4,239.80

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Solution

The fourth proportional to 4,748.30, 7,114.17 and 4,239.80 is: 6,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.30 : 7,114.17 = 4,239.80 : x
  2. Step 2: Convert to fraction form
    4,748.30/7,114.17 = 4,239.80/x
  3. Step 3: Cross multiply
    4,748.30x = 7,114.17 × 4,239.80
  4. Step 4: Simplify right side
    4,748.30x = 30,162,657.97
  5. Step 5: Solve for x
    x = 30,162,657.97/4,748.30
  6. Step 6: Final answer
    x = 6,352.31

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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.