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Finding the Fourth Proportional to 6,896.28, 9,516.88 and 3,752.46

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Solution

The fourth proportional to 6,896.28, 9,516.88 and 3,752.46 is: 5,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.28 : 9,516.88 = 3,752.46 : x
  2. Step 2: Convert to fraction form
    6,896.28/9,516.88 = 3,752.46/x
  3. Step 3: Cross multiply
    6,896.28x = 9,516.88 × 3,752.46
  4. Step 4: Simplify right side
    6,896.28x = 35,711,711.52
  5. Step 5: Solve for x
    x = 35,711,711.52/6,896.28
  6. Step 6: Final answer
    x = 5,178.40

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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.