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Finding the Fourth Proportional to 3,930.42, 5,894.40 and 1,332.75

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Solution

The fourth proportional to 3,930.42, 5,894.40 and 1,332.75 is: 1,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.42 : 5,894.40 = 1,332.75 : x
  2. Step 2: Convert to fraction form
    3,930.42/5,894.40 = 1,332.75/x
  3. Step 3: Cross multiply
    3,930.42x = 5,894.40 × 1,332.75
  4. Step 4: Simplify right side
    3,930.42x = 7,855,761.60
  5. Step 5: Solve for x
    x = 7,855,761.60/3,930.42
  6. Step 6: Final answer
    x = 1,998.71

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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.