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Finding the Fourth Proportional to 5,649.24, 8,470.98 and 2,361.45

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Solution

The fourth proportional to 5,649.24, 8,470.98 and 2,361.45 is: 3,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.24 : 8,470.98 = 2,361.45 : x
  2. Step 2: Convert to fraction form
    5,649.24/8,470.98 = 2,361.45/x
  3. Step 3: Cross multiply
    5,649.24x = 8,470.98 × 2,361.45
  4. Step 4: Simplify right side
    5,649.24x = 20,003,795.72
  5. Step 5: Solve for x
    x = 20,003,795.72/5,649.24
  6. Step 6: Final answer
    x = 3,540.97

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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.