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Finding the Fourth Proportional to 4,651.78, 6,419.46 and 2,527.27

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Solution

The fourth proportional to 4,651.78, 6,419.46 and 2,527.27 is: 3,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.78 : 6,419.46 = 2,527.27 : x
  2. Step 2: Convert to fraction form
    4,651.78/6,419.46 = 2,527.27/x
  3. Step 3: Cross multiply
    4,651.78x = 6,419.46 × 2,527.27
  4. Step 4: Simplify right side
    4,651.78x = 16,223,708.67
  5. Step 5: Solve for x
    x = 16,223,708.67/4,651.78
  6. Step 6: Final answer
    x = 3,487.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.