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Finding the Fourth Proportional to 6,066.38, 8,366.44 and 3,675.80

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Solution

The fourth proportional to 6,066.38, 8,366.44 and 3,675.80 is: 5,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.38 : 8,366.44 = 3,675.80 : x
  2. Step 2: Convert to fraction form
    6,066.38/8,366.44 = 3,675.80/x
  3. Step 3: Cross multiply
    6,066.38x = 8,366.44 × 3,675.80
  4. Step 4: Simplify right side
    6,066.38x = 30,753,331.71
  5. Step 5: Solve for x
    x = 30,753,331.71/6,066.38
  6. Step 6: Final answer
    x = 5,069.47

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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.