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Finding the Fourth Proportional to 3,632.75, 5,443.92 and 2,069.52

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Solution

The fourth proportional to 3,632.75, 5,443.92 and 2,069.52 is: 3,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.75 : 5,443.92 = 2,069.52 : x
  2. Step 2: Convert to fraction form
    3,632.75/5,443.92 = 2,069.52/x
  3. Step 3: Cross multiply
    3,632.75x = 5,443.92 × 2,069.52
  4. Step 4: Simplify right side
    3,632.75x = 11,266,301.32
  5. Step 5: Solve for x
    x = 11,266,301.32/3,632.75
  6. Step 6: Final answer
    x = 3,101.31

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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.