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Finding the Fourth Proportional to 3,396.50, 4,695.02 and 2,833.70

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Solution

The fourth proportional to 3,396.50, 4,695.02 and 2,833.70 is: 3,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.50 : 4,695.02 = 2,833.70 : x
  2. Step 2: Convert to fraction form
    3,396.50/4,695.02 = 2,833.70/x
  3. Step 3: Cross multiply
    3,396.50x = 4,695.02 × 2,833.70
  4. Step 4: Simplify right side
    3,396.50x = 13,304,278.17
  5. Step 5: Solve for x
    x = 13,304,278.17/3,396.50
  6. Step 6: Final answer
    x = 3,917.06

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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.