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Finding the Fourth Proportional to 3,400.01, 5,100.14 and 934.83

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Solution

The fourth proportional to 3,400.01, 5,100.14 and 934.83 is: 1,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.01 : 5,100.14 = 934.83 : x
  2. Step 2: Convert to fraction form
    3,400.01/5,100.14 = 934.83/x
  3. Step 3: Cross multiply
    3,400.01x = 5,100.14 × 934.83
  4. Step 4: Simplify right side
    3,400.01x = 4,767,759.20
  5. Step 5: Solve for x
    x = 4,767,759.20/3,400.01
  6. Step 6: Final answer
    x = 1,402.28

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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.