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Finding the Fourth Proportional to 3,400.28, 5,100.17 and 934.91

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Solution

The fourth proportional to 3,400.28, 5,100.17 and 934.91 is: 1,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.28 : 5,100.17 = 934.91 : x
  2. Step 2: Convert to fraction form
    3,400.28/5,100.17 = 934.91/x
  3. Step 3: Cross multiply
    3,400.28x = 5,100.17 × 934.91
  4. Step 4: Simplify right side
    3,400.28x = 4,768,176.77
  5. Step 5: Solve for x
    x = 4,768,176.77/3,400.28
  6. Step 6: Final answer
    x = 1,402.29

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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.