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Finding the Fourth Proportional to 3,897.52, 5,378.56 and 2,219.24

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Solution

The fourth proportional to 3,897.52, 5,378.56 and 2,219.24 is: 3,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.52 : 5,378.56 = 2,219.24 : x
  2. Step 2: Convert to fraction form
    3,897.52/5,378.56 = 2,219.24/x
  3. Step 3: Cross multiply
    3,897.52x = 5,378.56 × 2,219.24
  4. Step 4: Simplify right side
    3,897.52x = 11,936,315.49
  5. Step 5: Solve for x
    x = 11,936,315.49/3,897.52
  6. Step 6: Final answer
    x = 3,062.54

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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.