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Finding the Fourth Proportional to 3,422.84, 5,125.50 and 2,730.51

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Solution

The fourth proportional to 3,422.84, 5,125.50 and 2,730.51 is: 4,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.84 : 5,125.50 = 2,730.51 : x
  2. Step 2: Convert to fraction form
    3,422.84/5,125.50 = 2,730.51/x
  3. Step 3: Cross multiply
    3,422.84x = 5,125.50 × 2,730.51
  4. Step 4: Simplify right side
    3,422.84x = 13,995,229.01
  5. Step 5: Solve for x
    x = 13,995,229.01/3,422.84
  6. Step 6: Final answer
    x = 4,088.78

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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.