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Finding the Fourth Proportional to 3,471.11, 4,771.61 and 2,990.78

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Solution

The fourth proportional to 3,471.11, 4,771.61 and 2,990.78 is: 4,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.11 : 4,771.61 = 2,990.78 : x
  2. Step 2: Convert to fraction form
    3,471.11/4,771.61 = 2,990.78/x
  3. Step 3: Cross multiply
    3,471.11x = 4,771.61 × 2,990.78
  4. Step 4: Simplify right side
    3,471.11x = 14,270,819.37
  5. Step 5: Solve for x
    x = 14,270,819.37/3,471.11
  6. Step 6: Final answer
    x = 4,111.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.