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Finding the Fourth Proportional to 6,340.28, 8,746.06 and 3,687.40

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Solution

The fourth proportional to 6,340.28, 8,746.06 and 3,687.40 is: 5,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.28 : 8,746.06 = 3,687.40 : x
  2. Step 2: Convert to fraction form
    6,340.28/8,746.06 = 3,687.40/x
  3. Step 3: Cross multiply
    6,340.28x = 8,746.06 × 3,687.40
  4. Step 4: Simplify right side
    6,340.28x = 32,250,221.64
  5. Step 5: Solve for x
    x = 32,250,221.64/6,340.28
  6. Step 6: Final answer
    x = 5,086.56

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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.