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Finding the Fourth Proportional to 3,902.07, 5,385.80 and 2,223.89

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Solution

The fourth proportional to 3,902.07, 5,385.80 and 2,223.89 is: 3,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.07 : 5,385.80 = 2,223.89 : x
  2. Step 2: Convert to fraction form
    3,902.07/5,385.80 = 2,223.89/x
  3. Step 3: Cross multiply
    3,902.07x = 5,385.80 × 2,223.89
  4. Step 4: Simplify right side
    3,902.07x = 11,977,426.76
  5. Step 5: Solve for x
    x = 11,977,426.76/3,902.07
  6. Step 6: Final answer
    x = 3,069.51

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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.