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Finding the Fourth Proportional to 5,980.70, 8,971.78 and 2,032.61

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Solution

The fourth proportional to 5,980.70, 8,971.78 and 2,032.61 is: 3,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.70 : 8,971.78 = 2,032.61 : x
  2. Step 2: Convert to fraction form
    5,980.70/8,971.78 = 2,032.61/x
  3. Step 3: Cross multiply
    5,980.70x = 8,971.78 × 2,032.61
  4. Step 4: Simplify right side
    5,980.70x = 18,236,087.43
  5. Step 5: Solve for x
    x = 18,236,087.43/5,980.70
  6. Step 6: Final answer
    x = 3,049.16

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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.