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Finding the Fourth Proportional to 3,402.70, 4,695.84 and 2,223.10

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Solution

The fourth proportional to 3,402.70, 4,695.84 and 2,223.10 is: 3,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.70 : 4,695.84 = 2,223.10 : x
  2. Step 2: Convert to fraction form
    3,402.70/4,695.84 = 2,223.10/x
  3. Step 3: Cross multiply
    3,402.70x = 4,695.84 × 2,223.10
  4. Step 4: Simplify right side
    3,402.70x = 10,439,321.90
  5. Step 5: Solve for x
    x = 10,439,321.90/3,402.70
  6. Step 6: Final answer
    x = 3,067.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.