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Finding the Fourth Proportional to 4,059.31, 6,081.66 and 3,775

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Solution

The fourth proportional to 4,059.31, 6,081.66 and 3,775 is: 5,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,059.31 : 6,081.66 = 3,775 : x
  2. Step 2: Convert to fraction form
    4,059.31/6,081.66 = 3,775/x
  3. Step 3: Cross multiply
    4,059.31x = 6,081.66 × 3,775
  4. Step 4: Simplify right side
    4,059.31x = 22,958,266.50
  5. Step 5: Solve for x
    x = 22,958,266.50/4,059.31
  6. Step 6: Final answer
    x = 5,655.71

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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.