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Finding the Fourth Proportional to 5,419.70, 8,129.73 and 1,523.78

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Solution

The fourth proportional to 5,419.70, 8,129.73 and 1,523.78 is: 2,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.70 : 8,129.73 = 1,523.78 : x
  2. Step 2: Convert to fraction form
    5,419.70/8,129.73 = 1,523.78/x
  3. Step 3: Cross multiply
    5,419.70x = 8,129.73 × 1,523.78
  4. Step 4: Simplify right side
    5,419.70x = 12,387,919.98
  5. Step 5: Solve for x
    x = 12,387,919.98/5,419.70
  6. Step 6: Final answer
    x = 2,285.72

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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.