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Finding the Fourth Proportional to 3,643.39, 5,465.09 and 1,452.61

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Solution

The fourth proportional to 3,643.39, 5,465.09 and 1,452.61 is: 2,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.39 : 5,465.09 = 1,452.61 : x
  2. Step 2: Convert to fraction form
    3,643.39/5,465.09 = 1,452.61/x
  3. Step 3: Cross multiply
    3,643.39x = 5,465.09 × 1,452.61
  4. Step 4: Simplify right side
    3,643.39x = 7,938,637.12
  5. Step 5: Solve for x
    x = 7,938,637.12/3,643.39
  6. Step 6: Final answer
    x = 2,178.92

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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.