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Finding the Fourth Proportional to 3,897.20, 5,376.80 and 2,500.80

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Solution

The fourth proportional to 3,897.20, 5,376.80 and 2,500.80 is: 3,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.20 : 5,376.80 = 2,500.80 : x
  2. Step 2: Convert to fraction form
    3,897.20/5,376.80 = 2,500.80/x
  3. Step 3: Cross multiply
    3,897.20x = 5,376.80 × 2,500.80
  4. Step 4: Simplify right side
    3,897.20x = 13,446,301.44
  5. Step 5: Solve for x
    x = 13,446,301.44/3,897.20
  6. Step 6: Final answer
    x = 3,450.25

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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.