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Finding the Fourth Proportional to 3,633.47, 5,449 and 1,412.15

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Solution

The fourth proportional to 3,633.47, 5,449 and 1,412.15 is: 2,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.47 : 5,449 = 1,412.15 : x
  2. Step 2: Convert to fraction form
    3,633.47/5,449 = 1,412.15/x
  3. Step 3: Cross multiply
    3,633.47x = 5,449 × 1,412.15
  4. Step 4: Simplify right side
    3,633.47x = 7,694,778.11
  5. Step 5: Solve for x
    x = 7,694,778.11/3,633.47
  6. Step 6: Final answer
    x = 2,117.75

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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.