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Finding the Fourth Proportional to 3,400.03, 5,099.80 and 934.66

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Solution

The fourth proportional to 3,400.03, 5,099.80 and 934.66 is: 1,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.03 : 5,099.80 = 934.66 : x
  2. Step 2: Convert to fraction form
    3,400.03/5,099.80 = 934.66/x
  3. Step 3: Cross multiply
    3,400.03x = 5,099.80 × 934.66
  4. Step 4: Simplify right side
    3,400.03x = 4,766,548.90
  5. Step 5: Solve for x
    x = 4,766,548.90/3,400.03
  6. Step 6: Final answer
    x = 1,401.92

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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.