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Finding the Fourth Proportional to 3,649.31, 5,473.96 and 1,016.82

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Solution

The fourth proportional to 3,649.31, 5,473.96 and 1,016.82 is: 1,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.31 : 5,473.96 = 1,016.82 : x
  2. Step 2: Convert to fraction form
    3,649.31/5,473.96 = 1,016.82/x
  3. Step 3: Cross multiply
    3,649.31x = 5,473.96 × 1,016.82
  4. Step 4: Simplify right side
    3,649.31x = 5,566,018.32
  5. Step 5: Solve for x
    x = 5,566,018.32/3,649.31
  6. Step 6: Final answer
    x = 1,525.23

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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.