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Finding the Fourth Proportional to 6,066.89, 8,372.12 and 3,414.14

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Solution

The fourth proportional to 6,066.89, 8,372.12 and 3,414.14 is: 4,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.89 : 8,372.12 = 3,414.14 : x
  2. Step 2: Convert to fraction form
    6,066.89/8,372.12 = 3,414.14/x
  3. Step 3: Cross multiply
    6,066.89x = 8,372.12 × 3,414.14
  4. Step 4: Simplify right side
    6,066.89x = 28,583,530.85
  5. Step 5: Solve for x
    x = 28,583,530.85/6,066.89
  6. Step 6: Final answer
    x = 4,711.40

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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.