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Finding the Fourth Proportional to 3,854, 5,781.24 and 1,118

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Solution

The fourth proportional to 3,854, 5,781.24 and 1,118 is: 1,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 5,781.24 = 1,118 : x
  2. Step 2: Convert to fraction form
    3,854/5,781.24 = 1,118/x
  3. Step 3: Cross multiply
    3,854x = 5,781.24 × 1,118
  4. Step 4: Simplify right side
    3,854x = 6,463,426.32
  5. Step 5: Solve for x
    x = 6,463,426.32/3,854
  6. Step 6: Final answer
    x = 1,677.07

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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.