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Finding the Fourth Proportional to 3,609.74, 5,414.15 and 1,144.58

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Solution

The fourth proportional to 3,609.74, 5,414.15 and 1,144.58 is: 1,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.74 : 5,414.15 = 1,144.58 : x
  2. Step 2: Convert to fraction form
    3,609.74/5,414.15 = 1,144.58/x
  3. Step 3: Cross multiply
    3,609.74x = 5,414.15 × 1,144.58
  4. Step 4: Simplify right side
    3,609.74x = 6,196,927.81
  5. Step 5: Solve for x
    x = 6,196,927.81/3,609.74
  6. Step 6: Final answer
    x = 1,716.72

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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.