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Finding the Fourth Proportional to 5,704.64, 8,552.80 and 2,419.20

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Solution

The fourth proportional to 5,704.64, 8,552.80 and 2,419.20 is: 3,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.64 : 8,552.80 = 2,419.20 : x
  2. Step 2: Convert to fraction form
    5,704.64/8,552.80 = 2,419.20/x
  3. Step 3: Cross multiply
    5,704.64x = 8,552.80 × 2,419.20
  4. Step 4: Simplify right side
    5,704.64x = 20,690,933.76
  5. Step 5: Solve for x
    x = 20,690,933.76/5,704.64
  6. Step 6: Final answer
    x = 3,627.04

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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.