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Finding the Fourth Proportional to 3,609.77, 5,414.65 and 1,012.91

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Solution

The fourth proportional to 3,609.77, 5,414.65 and 1,012.91 is: 1,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.77 : 5,414.65 = 1,012.91 : x
  2. Step 2: Convert to fraction form
    3,609.77/5,414.65 = 1,012.91/x
  3. Step 3: Cross multiply
    3,609.77x = 5,414.65 × 1,012.91
  4. Step 4: Simplify right side
    3,609.77x = 5,484,523.53
  5. Step 5: Solve for x
    x = 5,484,523.53/3,609.77
  6. Step 6: Final answer
    x = 1,519.36

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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.