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Finding the Fourth Proportional to 5,374, 8,055.24 and 2,253.22

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Solution

The fourth proportional to 5,374, 8,055.24 and 2,253.22 is: 3,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374 : 8,055.24 = 2,253.22 : x
  2. Step 2: Convert to fraction form
    5,374/8,055.24 = 2,253.22/x
  3. Step 3: Cross multiply
    5,374x = 8,055.24 × 2,253.22
  4. Step 4: Simplify right side
    5,374x = 18,150,227.87
  5. Step 5: Solve for x
    x = 18,150,227.87/5,374
  6. Step 6: Final answer
    x = 3,377.41

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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.