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Finding the Fourth Proportional to 3,841.98, 5,761.98 and 1,376.52

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Solution

The fourth proportional to 3,841.98, 5,761.98 and 1,376.52 is: 2,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.98 : 5,761.98 = 1,376.52 : x
  2. Step 2: Convert to fraction form
    3,841.98/5,761.98 = 1,376.52/x
  3. Step 3: Cross multiply
    3,841.98x = 5,761.98 × 1,376.52
  4. Step 4: Simplify right side
    3,841.98x = 7,931,480.71
  5. Step 5: Solve for x
    x = 7,931,480.71/3,841.98
  6. Step 6: Final answer
    x = 2,064.43

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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.