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Finding the Fourth Proportional to 5,812.31, 8,020.82 and 3,159.76

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Solution

The fourth proportional to 5,812.31, 8,020.82 and 3,159.76 is: 4,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.31 : 8,020.82 = 3,159.76 : x
  2. Step 2: Convert to fraction form
    5,812.31/8,020.82 = 3,159.76/x
  3. Step 3: Cross multiply
    5,812.31x = 8,020.82 × 3,159.76
  4. Step 4: Simplify right side
    5,812.31x = 25,343,869.09
  5. Step 5: Solve for x
    x = 25,343,869.09/5,812.31
  6. Step 6: Final answer
    x = 4,360.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.