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Finding the Fourth Proportional to 5,983.32, 8,969.44 and 2,649.80

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Solution

The fourth proportional to 5,983.32, 8,969.44 and 2,649.80 is: 3,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.32 : 8,969.44 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    5,983.32/8,969.44 = 2,649.80/x
  3. Step 3: Cross multiply
    5,983.32x = 8,969.44 × 2,649.80
  4. Step 4: Simplify right side
    5,983.32x = 23,767,170.64
  5. Step 5: Solve for x
    x = 23,767,170.64/5,983.32
  6. Step 6: Final answer
    x = 3,972.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.