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Finding the Fourth Proportional to 3,678.64, 5,517.50 and 1,046.36

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Solution

The fourth proportional to 3,678.64, 5,517.50 and 1,046.36 is: 1,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.64 : 5,517.50 = 1,046.36 : x
  2. Step 2: Convert to fraction form
    3,678.64/5,517.50 = 1,046.36/x
  3. Step 3: Cross multiply
    3,678.64x = 5,517.50 × 1,046.36
  4. Step 4: Simplify right side
    3,678.64x = 5,773,299.86
  5. Step 5: Solve for x
    x = 5,773,299.86/3,678.64
  6. Step 6: Final answer
    x = 1,569.41

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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.