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Finding the Fourth Proportional to 6,101.92, 8,421.12 and 3,449.38

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Solution

The fourth proportional to 6,101.92, 8,421.12 and 3,449.38 is: 4,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.92 : 8,421.12 = 3,449.38 : x
  2. Step 2: Convert to fraction form
    6,101.92/8,421.12 = 3,449.38/x
  3. Step 3: Cross multiply
    6,101.92x = 8,421.12 × 3,449.38
  4. Step 4: Simplify right side
    6,101.92x = 29,047,642.91
  5. Step 5: Solve for x
    x = 29,047,642.91/6,101.92
  6. Step 6: Final answer
    x = 4,760.41

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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.