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Finding the Fourth Proportional to 6,505.28, 8,977.38 and 3,952.32

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Solution

The fourth proportional to 6,505.28, 8,977.38 and 3,952.32 is: 5,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.28 : 8,977.38 = 3,952.32 : x
  2. Step 2: Convert to fraction form
    6,505.28/8,977.38 = 3,952.32/x
  3. Step 3: Cross multiply
    6,505.28x = 8,977.38 × 3,952.32
  4. Step 4: Simplify right side
    6,505.28x = 35,481,478.52
  5. Step 5: Solve for x
    x = 35,481,478.52/6,505.28
  6. Step 6: Final answer
    x = 5,454.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.