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Finding the Fourth Proportional to 4,269.76, 5,892.36 and 2,381.44

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Solution

The fourth proportional to 4,269.76, 5,892.36 and 2,381.44 is: 3,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.76 : 5,892.36 = 2,381.44 : x
  2. Step 2: Convert to fraction form
    4,269.76/5,892.36 = 2,381.44/x
  3. Step 3: Cross multiply
    4,269.76x = 5,892.36 × 2,381.44
  4. Step 4: Simplify right side
    4,269.76x = 14,032,301.80
  5. Step 5: Solve for x
    x = 14,032,301.80/4,269.76
  6. Step 6: Final answer
    x = 3,286.44

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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.