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Finding the Fourth Proportional to 3,931.44, 5,894.28 and 3,390

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Solution

The fourth proportional to 3,931.44, 5,894.28 and 3,390 is: 5,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.44 : 5,894.28 = 3,390 : x
  2. Step 2: Convert to fraction form
    3,931.44/5,894.28 = 3,390/x
  3. Step 3: Cross multiply
    3,931.44x = 5,894.28 × 3,390
  4. Step 4: Simplify right side
    3,931.44x = 19,981,609.20
  5. Step 5: Solve for x
    x = 19,981,609.20/3,931.44
  6. Step 6: Final answer
    x = 5,082.52

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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.