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Finding the Fourth Proportional to 3,902.34, 5,384.82 and 2,223.40

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Solution

The fourth proportional to 3,902.34, 5,384.82 and 2,223.40 is: 3,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.34 : 5,384.82 = 2,223.40 : x
  2. Step 2: Convert to fraction form
    3,902.34/5,384.82 = 2,223.40/x
  3. Step 3: Cross multiply
    3,902.34x = 5,384.82 × 2,223.40
  4. Step 4: Simplify right side
    3,902.34x = 11,972,595.33
  5. Step 5: Solve for x
    x = 11,972,595.33/3,902.34
  6. Step 6: Final answer
    x = 3,068.06

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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.