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Finding the Fourth Proportional to 3,649.13, 5,472.62 and 1,016.03

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Solution

The fourth proportional to 3,649.13, 5,472.62 and 1,016.03 is: 1,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.13 : 5,472.62 = 1,016.03 : x
  2. Step 2: Convert to fraction form
    3,649.13/5,472.62 = 1,016.03/x
  3. Step 3: Cross multiply
    3,649.13x = 5,472.62 × 1,016.03
  4. Step 4: Simplify right side
    3,649.13x = 5,560,313.66
  5. Step 5: Solve for x
    x = 5,560,313.66/3,649.13
  6. Step 6: Final answer
    x = 1,523.74

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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.