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Finding the Fourth Proportional to 3,902.18, 5,384.78 and 2,223.42

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Solution

The fourth proportional to 3,902.18, 5,384.78 and 2,223.42 is: 3,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.18 : 5,384.78 = 2,223.42 : x
  2. Step 2: Convert to fraction form
    3,902.18/5,384.78 = 2,223.42/x
  3. Step 3: Cross multiply
    3,902.18x = 5,384.78 × 2,223.42
  4. Step 4: Simplify right side
    3,902.18x = 11,972,604.58
  5. Step 5: Solve for x
    x = 11,972,604.58/3,902.18
  6. Step 6: Final answer
    x = 3,068.19

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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.