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Finding the Fourth Proportional to 3,770.67, 5,656.07 and 1,431.76

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Solution

The fourth proportional to 3,770.67, 5,656.07 and 1,431.76 is: 2,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.67 : 5,656.07 = 1,431.76 : x
  2. Step 2: Convert to fraction form
    3,770.67/5,656.07 = 1,431.76/x
  3. Step 3: Cross multiply
    3,770.67x = 5,656.07 × 1,431.76
  4. Step 4: Simplify right side
    3,770.67x = 8,098,134.78
  5. Step 5: Solve for x
    x = 8,098,134.78/3,770.67
  6. Step 6: Final answer
    x = 2,147.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.