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Finding the Fourth Proportional to 3,892.67, 5,838.13 and 1,118.72

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Solution

The fourth proportional to 3,892.67, 5,838.13 and 1,118.72 is: 1,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.67 : 5,838.13 = 1,118.72 : x
  2. Step 2: Convert to fraction form
    3,892.67/5,838.13 = 1,118.72/x
  3. Step 3: Cross multiply
    3,892.67x = 5,838.13 × 1,118.72
  4. Step 4: Simplify right side
    3,892.67x = 6,531,244.59
  5. Step 5: Solve for x
    x = 6,531,244.59/3,892.67
  6. Step 6: Final answer
    x = 1,677.83

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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.