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Finding the Fourth Proportional to 3,902.53, 5,385.13 and 2,223.49

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Solution

The fourth proportional to 3,902.53, 5,385.13 and 2,223.49 is: 3,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.53 : 5,385.13 = 2,223.49 : x
  2. Step 2: Convert to fraction form
    3,902.53/5,385.13 = 2,223.49/x
  3. Step 3: Cross multiply
    3,902.53x = 5,385.13 × 2,223.49
  4. Step 4: Simplify right side
    3,902.53x = 11,973,782.70
  5. Step 5: Solve for x
    x = 11,973,782.70/3,902.53
  6. Step 6: Final answer
    x = 3,068.21

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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.