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Finding the Fourth Proportional to 5,191.68, 7,749.60 and 4,503.18

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Solution

The fourth proportional to 5,191.68, 7,749.60 and 4,503.18 is: 6,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.68 : 7,749.60 = 4,503.18 : x
  2. Step 2: Convert to fraction form
    5,191.68/7,749.60 = 4,503.18/x
  3. Step 3: Cross multiply
    5,191.68x = 7,749.60 × 4,503.18
  4. Step 4: Simplify right side
    5,191.68x = 34,897,843.73
  5. Step 5: Solve for x
    x = 34,897,843.73/5,191.68
  6. Step 6: Final answer
    x = 6,721.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.