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Finding the Fourth Proportional to 3,471.50, 4,790.91 and 2,290.52

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Solution

The fourth proportional to 3,471.50, 4,790.91 and 2,290.52 is: 3,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.50 : 4,790.91 = 2,290.52 : x
  2. Step 2: Convert to fraction form
    3,471.50/4,790.91 = 2,290.52/x
  3. Step 3: Cross multiply
    3,471.50x = 4,790.91 × 2,290.52
  4. Step 4: Simplify right side
    3,471.50x = 10,973,675.17
  5. Step 5: Solve for x
    x = 10,973,675.17/3,471.50
  6. Step 6: Final answer
    x = 3,161.08

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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.