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Finding the Fourth Proportional to 5,822.68, 8,730.26 and 2,493.10

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Solution

The fourth proportional to 5,822.68, 8,730.26 and 2,493.10 is: 3,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.68 : 8,730.26 = 2,493.10 : x
  2. Step 2: Convert to fraction form
    5,822.68/8,730.26 = 2,493.10/x
  3. Step 3: Cross multiply
    5,822.68x = 8,730.26 × 2,493.10
  4. Step 4: Simplify right side
    5,822.68x = 21,765,411.21
  5. Step 5: Solve for x
    x = 21,765,411.21/5,822.68
  6. Step 6: Final answer
    x = 3,738.04

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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.