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Finding the Fourth Proportional to 3,357.56, 5,034.66 and 1,165.70

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Solution

The fourth proportional to 3,357.56, 5,034.66 and 1,165.70 is: 1,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.56 : 5,034.66 = 1,165.70 : x
  2. Step 2: Convert to fraction form
    3,357.56/5,034.66 = 1,165.70/x
  3. Step 3: Cross multiply
    3,357.56x = 5,034.66 × 1,165.70
  4. Step 4: Simplify right side
    3,357.56x = 5,868,903.16
  5. Step 5: Solve for x
    x = 5,868,903.16/3,357.56
  6. Step 6: Final answer
    x = 1,747.97

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