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Finding the Fourth Proportional to 3,649.50, 5,474.28 and 1,052.46

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Solution

The fourth proportional to 3,649.50, 5,474.28 and 1,052.46 is: 1,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.50 : 5,474.28 = 1,052.46 : x
  2. Step 2: Convert to fraction form
    3,649.50/5,474.28 = 1,052.46/x
  3. Step 3: Cross multiply
    3,649.50x = 5,474.28 × 1,052.46
  4. Step 4: Simplify right side
    3,649.50x = 5,761,460.73
  5. Step 5: Solve for x
    x = 5,761,460.73/3,649.50
  6. Step 6: Final answer
    x = 1,578.70

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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.