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Finding the Fourth Proportional to 5,764.32, 8,649.30 and 3,572.46

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Solution

The fourth proportional to 5,764.32, 8,649.30 and 3,572.46 is: 5,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.32 : 8,649.30 = 3,572.46 : x
  2. Step 2: Convert to fraction form
    5,764.32/8,649.30 = 3,572.46/x
  3. Step 3: Cross multiply
    5,764.32x = 8,649.30 × 3,572.46
  4. Step 4: Simplify right side
    5,764.32x = 30,899,278.28
  5. Step 5: Solve for x
    x = 30,899,278.28/5,764.32
  6. Step 6: Final answer
    x = 5,360.44

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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.