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Finding the Fourth Proportional to 4,627.62, 6,956.48 and 3,713.20

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Solution

The fourth proportional to 4,627.62, 6,956.48 and 3,713.20 is: 5,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.62 : 6,956.48 = 3,713.20 : x
  2. Step 2: Convert to fraction form
    4,627.62/6,956.48 = 3,713.20/x
  3. Step 3: Cross multiply
    4,627.62x = 6,956.48 × 3,713.20
  4. Step 4: Simplify right side
    4,627.62x = 25,830,793.43
  5. Step 5: Solve for x
    x = 25,830,793.43/4,627.62
  6. Step 6: Final answer
    x = 5,581.87

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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.