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Finding the Fourth Proportional to 3,678.41, 5,517.92 and 1,046.12

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Solution

The fourth proportional to 3,678.41, 5,517.92 and 1,046.12 is: 1,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.41 : 5,517.92 = 1,046.12 : x
  2. Step 2: Convert to fraction form
    3,678.41/5,517.92 = 1,046.12/x
  3. Step 3: Cross multiply
    3,678.41x = 5,517.92 × 1,046.12
  4. Step 4: Simplify right side
    3,678.41x = 5,772,381.50
  5. Step 5: Solve for x
    x = 5,772,381.50/3,678.41
  6. Step 6: Final answer
    x = 1,569.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.