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Finding the Fourth Proportional to 4,981, 7,471.56 and 2,245

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Solution

The fourth proportional to 4,981, 7,471.56 and 2,245 is: 3,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981 : 7,471.56 = 2,245 : x
  2. Step 2: Convert to fraction form
    4,981/7,471.56 = 2,245/x
  3. Step 3: Cross multiply
    4,981x = 7,471.56 × 2,245
  4. Step 4: Simplify right side
    4,981x = 16,773,652.20
  5. Step 5: Solve for x
    x = 16,773,652.20/4,981
  6. Step 6: Final answer
    x = 3,367.53

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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.