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Finding the Fourth Proportional to 5,990.95, 8,982.17 and 2,290.06

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Solution

The fourth proportional to 5,990.95, 8,982.17 and 2,290.06 is: 3,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.95 : 8,982.17 = 2,290.06 : x
  2. Step 2: Convert to fraction form
    5,990.95/8,982.17 = 2,290.06/x
  3. Step 3: Cross multiply
    5,990.95x = 8,982.17 × 2,290.06
  4. Step 4: Simplify right side
    5,990.95x = 20,569,659.63
  5. Step 5: Solve for x
    x = 20,569,659.63/5,990.95
  6. Step 6: Final answer
    x = 3,433.46

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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.