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Finding the Fourth Proportional to 3,765.28, 5,647.86 and 1,029.28

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Solution

The fourth proportional to 3,765.28, 5,647.86 and 1,029.28 is: 1,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.28 : 5,647.86 = 1,029.28 : x
  2. Step 2: Convert to fraction form
    3,765.28/5,647.86 = 1,029.28/x
  3. Step 3: Cross multiply
    3,765.28x = 5,647.86 × 1,029.28
  4. Step 4: Simplify right side
    3,765.28x = 5,813,229.34
  5. Step 5: Solve for x
    x = 5,813,229.34/3,765.28
  6. Step 6: Final answer
    x = 1,543.90

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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.