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Finding the Fourth Proportional to 5,969.28, 8,944.80 and 4,507.20

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Solution

The fourth proportional to 5,969.28, 8,944.80 and 4,507.20 is: 6,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.28 : 8,944.80 = 4,507.20 : x
  2. Step 2: Convert to fraction form
    5,969.28/8,944.80 = 4,507.20/x
  3. Step 3: Cross multiply
    5,969.28x = 8,944.80 × 4,507.20
  4. Step 4: Simplify right side
    5,969.28x = 40,316,002.56
  5. Step 5: Solve for x
    x = 40,316,002.56/5,969.28
  6. Step 6: Final answer
    x = 6,753.91

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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.