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Finding the Fourth Proportional to 5,371, 8,050.74 and 2,250.22

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Solution

The fourth proportional to 5,371, 8,050.74 and 2,250.22 is: 3,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371 : 8,050.74 = 2,250.22 : x
  2. Step 2: Convert to fraction form
    5,371/8,050.74 = 2,250.22/x
  3. Step 3: Cross multiply
    5,371x = 8,050.74 × 2,250.22
  4. Step 4: Simplify right side
    5,371x = 18,115,936.16
  5. Step 5: Solve for x
    x = 18,115,936.16/5,371
  6. Step 6: Final answer
    x = 3,372.92

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Why These Related Problems?

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