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Finding the Fourth Proportional to 3,647.25, 5,470.88 and 1,338.75

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Solution

The fourth proportional to 3,647.25, 5,470.88 and 1,338.75 is: 2,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.25 : 5,470.88 = 1,338.75 : x
  2. Step 2: Convert to fraction form
    3,647.25/5,470.88 = 1,338.75/x
  3. Step 3: Cross multiply
    3,647.25x = 5,470.88 × 1,338.75
  4. Step 4: Simplify right side
    3,647.25x = 7,324,133.91
  5. Step 5: Solve for x
    x = 7,324,133.91/3,647.25
  6. Step 6: Final answer
    x = 2,008.13

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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.