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Finding the Fourth Proportional to 5,980.43, 8,972.13 and 2,862.81

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Solution

The fourth proportional to 5,980.43, 8,972.13 and 2,862.81 is: 4,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.43 : 8,972.13 = 2,862.81 : x
  2. Step 2: Convert to fraction form
    5,980.43/8,972.13 = 2,862.81/x
  3. Step 3: Cross multiply
    5,980.43x = 8,972.13 × 2,862.81
  4. Step 4: Simplify right side
    5,980.43x = 25,685,514.22
  5. Step 5: Solve for x
    x = 25,685,514.22/5,980.43
  6. Step 6: Final answer
    x = 4,294.93

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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.