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Finding the Fourth Proportional to 3,400.28, 5,100.23 and 934.92

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Solution

The fourth proportional to 3,400.28, 5,100.23 and 934.92 is: 1,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.28 : 5,100.23 = 934.92 : x
  2. Step 2: Convert to fraction form
    3,400.28/5,100.23 = 934.92/x
  3. Step 3: Cross multiply
    3,400.28x = 5,100.23 × 934.92
  4. Step 4: Simplify right side
    3,400.28x = 4,768,302.36
  5. Step 5: Solve for x
    x = 4,768,302.36/3,400.28
  6. Step 6: Final answer
    x = 1,402.33

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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.