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Finding the Fourth Proportional to 5,812, 8,020.44 and 3,159.48

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Solution

The fourth proportional to 5,812, 8,020.44 and 3,159.48 is: 4,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812 : 8,020.44 = 3,159.48 : x
  2. Step 2: Convert to fraction form
    5,812/8,020.44 = 3,159.48/x
  3. Step 3: Cross multiply
    5,812x = 8,020.44 × 3,159.48
  4. Step 4: Simplify right side
    5,812x = 25,340,419.77
  5. Step 5: Solve for x
    x = 25,340,419.77/5,812
  6. Step 6: Final answer
    x = 4,360.02

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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.