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Finding the Fourth Proportional to 5,263.20, 7,897.20 and 2,797.44

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Solution

The fourth proportional to 5,263.20, 7,897.20 and 2,797.44 is: 4,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.20 : 7,897.20 = 2,797.44 : x
  2. Step 2: Convert to fraction form
    5,263.20/7,897.20 = 2,797.44/x
  3. Step 3: Cross multiply
    5,263.20x = 7,897.20 × 2,797.44
  4. Step 4: Simplify right side
    5,263.20x = 22,091,943.17
  5. Step 5: Solve for x
    x = 22,091,943.17/5,263.20
  6. Step 6: Final answer
    x = 4,197.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.