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Finding the Fourth Proportional to 3,471.34, 4,790.45 and 2,074.09

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Solution

The fourth proportional to 3,471.34, 4,790.45 and 2,074.09 is: 2,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.34 : 4,790.45 = 2,074.09 : x
  2. Step 2: Convert to fraction form
    3,471.34/4,790.45 = 2,074.09/x
  3. Step 3: Cross multiply
    3,471.34x = 4,790.45 × 2,074.09
  4. Step 4: Simplify right side
    3,471.34x = 9,935,824.44
  5. Step 5: Solve for x
    x = 9,935,824.44/3,471.34
  6. Step 6: Final answer
    x = 2,862.24

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