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Finding the Fourth Proportional to 3,614.29, 4,990.82 and 2,290.34

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Solution

The fourth proportional to 3,614.29, 4,990.82 and 2,290.34 is: 3,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.29 : 4,990.82 = 2,290.34 : x
  2. Step 2: Convert to fraction form
    3,614.29/4,990.82 = 2,290.34/x
  3. Step 3: Cross multiply
    3,614.29x = 4,990.82 × 2,290.34
  4. Step 4: Simplify right side
    3,614.29x = 11,430,675.70
  5. Step 5: Solve for x
    x = 11,430,675.70/3,614.29
  6. Step 6: Final answer
    x = 3,162.64

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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.