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Finding the Fourth Proportional to 4,187.68, 6,308.68 and 3,983.92

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Solution

The fourth proportional to 4,187.68, 6,308.68 and 3,983.92 is: 6,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.68 : 6,308.68 = 3,983.92 : x
  2. Step 2: Convert to fraction form
    4,187.68/6,308.68 = 3,983.92/x
  3. Step 3: Cross multiply
    4,187.68x = 6,308.68 × 3,983.92
  4. Step 4: Simplify right side
    4,187.68x = 25,133,276.43
  5. Step 5: Solve for x
    x = 25,133,276.43/4,187.68
  6. Step 6: Final answer
    x = 6,001.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.