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Finding the Fourth Proportional to 3,738.02, 5,158.22 and 2,246

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Solution

The fourth proportional to 3,738.02, 5,158.22 and 2,246 is: 3,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.02 : 5,158.22 = 2,246 : x
  2. Step 2: Convert to fraction form
    3,738.02/5,158.22 = 2,246/x
  3. Step 3: Cross multiply
    3,738.02x = 5,158.22 × 2,246
  4. Step 4: Simplify right side
    3,738.02x = 11,585,362.12
  5. Step 5: Solve for x
    x = 11,585,362.12/3,738.02
  6. Step 6: Final answer
    x = 3,099.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.