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Finding the Fourth Proportional to 6,141.38, 8,475.12 and 3,346.88

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Solution

The fourth proportional to 6,141.38, 8,475.12 and 3,346.88 is: 4,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.38 : 8,475.12 = 3,346.88 : x
  2. Step 2: Convert to fraction form
    6,141.38/8,475.12 = 3,346.88/x
  3. Step 3: Cross multiply
    6,141.38x = 8,475.12 × 3,346.88
  4. Step 4: Simplify right side
    6,141.38x = 28,365,167.25
  5. Step 5: Solve for x
    x = 28,365,167.25/6,141.38
  6. Step 6: Final answer
    x = 4,618.70

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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.