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Finding the Fourth Proportional to 3,841.44, 5,762.24 and 2,527.68

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Solution

The fourth proportional to 3,841.44, 5,762.24 and 2,527.68 is: 3,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.44 : 5,762.24 = 2,527.68 : x
  2. Step 2: Convert to fraction form
    3,841.44/5,762.24 = 2,527.68/x
  3. Step 3: Cross multiply
    3,841.44x = 5,762.24 × 2,527.68
  4. Step 4: Simplify right side
    3,841.44x = 14,565,098.80
  5. Step 5: Solve for x
    x = 14,565,098.80/3,841.44
  6. Step 6: Final answer
    x = 3,791.57

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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.