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Finding the Fourth Proportional to 3,633.57, 5,451.16 and 1,325.07

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Solution

The fourth proportional to 3,633.57, 5,451.16 and 1,325.07 is: 1,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.57 : 5,451.16 = 1,325.07 : x
  2. Step 2: Convert to fraction form
    3,633.57/5,451.16 = 1,325.07/x
  3. Step 3: Cross multiply
    3,633.57x = 5,451.16 × 1,325.07
  4. Step 4: Simplify right side
    3,633.57x = 7,223,168.58
  5. Step 5: Solve for x
    x = 7,223,168.58/3,633.57
  6. Step 6: Final answer
    x = 1,987.90

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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.