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Finding the Fourth Proportional to 3,613.61, 5,419.24 and 1,273.21

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Solution

The fourth proportional to 3,613.61, 5,419.24 and 1,273.21 is: 1,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.61 : 5,419.24 = 1,273.21 : x
  2. Step 2: Convert to fraction form
    3,613.61/5,419.24 = 1,273.21/x
  3. Step 3: Cross multiply
    3,613.61x = 5,419.24 × 1,273.21
  4. Step 4: Simplify right side
    3,613.61x = 6,899,813.83
  5. Step 5: Solve for x
    x = 6,899,813.83/3,613.61
  6. Step 6: Final answer
    x = 1,909.40

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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.