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Finding the Fourth Proportional to 4,375.28, 6,562.86 and 1,297.28

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Solution

The fourth proportional to 4,375.28, 6,562.86 and 1,297.28 is: 1,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.28 : 6,562.86 = 1,297.28 : x
  2. Step 2: Convert to fraction form
    4,375.28/6,562.86 = 1,297.28/x
  3. Step 3: Cross multiply
    4,375.28x = 6,562.86 × 1,297.28
  4. Step 4: Simplify right side
    4,375.28x = 8,513,867.02
  5. Step 5: Solve for x
    x = 8,513,867.02/4,375.28
  6. Step 6: Final answer
    x = 1,945.90

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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.