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Finding the Fourth Proportional to 3,902.10, 5,384.90 and 2,223.66

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Solution

The fourth proportional to 3,902.10, 5,384.90 and 2,223.66 is: 3,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.10 : 5,384.90 = 2,223.66 : x
  2. Step 2: Convert to fraction form
    3,902.10/5,384.90 = 2,223.66/x
  3. Step 3: Cross multiply
    3,902.10x = 5,384.90 × 2,223.66
  4. Step 4: Simplify right side
    3,902.10x = 11,974,186.73
  5. Step 5: Solve for x
    x = 11,974,186.73/3,902.10
  6. Step 6: Final answer
    x = 3,068.65

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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.