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Finding the Fourth Proportional to 6,117.38, 8,441.74 and 3,464.62

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Solution

The fourth proportional to 6,117.38, 8,441.74 and 3,464.62 is: 4,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.38 : 8,441.74 = 3,464.62 : x
  2. Step 2: Convert to fraction form
    6,117.38/8,441.74 = 3,464.62/x
  3. Step 3: Cross multiply
    6,117.38x = 8,441.74 × 3,464.62
  4. Step 4: Simplify right side
    6,117.38x = 29,247,421.24
  5. Step 5: Solve for x
    x = 29,247,421.24/6,117.38
  6. Step 6: Final answer
    x = 4,781.04

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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.