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Finding the Fourth Proportional to 3,678.38, 5,517.00 and 1,046.01

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Solution

The fourth proportional to 3,678.38, 5,517.00 and 1,046.01 is: 1,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.38 : 5,517.00 = 1,046.01 : x
  2. Step 2: Convert to fraction form
    3,678.38/5,517.00 = 1,046.01/x
  3. Step 3: Cross multiply
    3,678.38x = 5,517.00 × 1,046.01
  4. Step 4: Simplify right side
    3,678.38x = 5,770,804.35
  5. Step 5: Solve for x
    x = 5,770,804.35/3,678.38
  6. Step 6: Final answer
    x = 1,568.85

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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.