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Finding the Fourth Proportional to 3,853.80, 5,781.60 and 1,256.76

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Solution

The fourth proportional to 3,853.80, 5,781.60 and 1,256.76 is: 1,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.80 : 5,781.60 = 1,256.76 : x
  2. Step 2: Convert to fraction form
    3,853.80/5,781.60 = 1,256.76/x
  3. Step 3: Cross multiply
    3,853.80x = 5,781.60 × 1,256.76
  4. Step 4: Simplify right side
    3,853.80x = 7,266,083.62
  5. Step 5: Solve for x
    x = 7,266,083.62/3,853.80
  6. Step 6: Final answer
    x = 1,885.43

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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.