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Finding the Fourth Proportional to 5,649.96, 8,471.43 and 2,359.02

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Solution

The fourth proportional to 5,649.96, 8,471.43 and 2,359.02 is: 3,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.96 : 8,471.43 = 2,359.02 : x
  2. Step 2: Convert to fraction form
    5,649.96/8,471.43 = 2,359.02/x
  3. Step 3: Cross multiply
    5,649.96x = 8,471.43 × 2,359.02
  4. Step 4: Simplify right side
    5,649.96x = 19,984,272.80
  5. Step 5: Solve for x
    x = 19,984,272.80/5,649.96
  6. Step 6: Final answer
    x = 3,537.06

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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.