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Finding the Fourth Proportional to 5,649.31, 8,474.57 and 1,754.02

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Solution

The fourth proportional to 5,649.31, 8,474.57 and 1,754.02 is: 2,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.31 : 8,474.57 = 1,754.02 : x
  2. Step 2: Convert to fraction form
    5,649.31/8,474.57 = 1,754.02/x
  3. Step 3: Cross multiply
    5,649.31x = 8,474.57 × 1,754.02
  4. Step 4: Simplify right side
    5,649.31x = 14,864,514.13
  5. Step 5: Solve for x
    x = 14,864,514.13/5,649.31
  6. Step 6: Final answer
    x = 2,631.21

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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.