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Finding the Fourth Proportional to 5,598.70, 7,726.20 and 3,081

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Solution

The fourth proportional to 5,598.70, 7,726.20 and 3,081 is: 4,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.70 : 7,726.20 = 3,081 : x
  2. Step 2: Convert to fraction form
    5,598.70/7,726.20 = 3,081/x
  3. Step 3: Cross multiply
    5,598.70x = 7,726.20 × 3,081
  4. Step 4: Simplify right side
    5,598.70x = 23,804,422.20
  5. Step 5: Solve for x
    x = 23,804,422.20/5,598.70
  6. Step 6: Final answer
    x = 4,251.78

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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.