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Finding the Fourth Proportional to 3,645.39, 5,468.09 and 1,454.61

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Solution

The fourth proportional to 3,645.39, 5,468.09 and 1,454.61 is: 2,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.39 : 5,468.09 = 1,454.61 : x
  2. Step 2: Convert to fraction form
    3,645.39/5,468.09 = 1,454.61/x
  3. Step 3: Cross multiply
    3,645.39x = 5,468.09 × 1,454.61
  4. Step 4: Simplify right side
    3,645.39x = 7,953,931.12
  5. Step 5: Solve for x
    x = 7,953,931.12/3,645.39
  6. Step 6: Final answer
    x = 2,181.92

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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.