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Finding the Fourth Proportional to 5,598.96, 7,726.50 and 3,081

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Solution

The fourth proportional to 5,598.96, 7,726.50 and 3,081 is: 4,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.96 : 7,726.50 = 3,081 : x
  2. Step 2: Convert to fraction form
    5,598.96/7,726.50 = 3,081/x
  3. Step 3: Cross multiply
    5,598.96x = 7,726.50 × 3,081
  4. Step 4: Simplify right side
    5,598.96x = 23,805,346.50
  5. Step 5: Solve for x
    x = 23,805,346.50/5,598.96
  6. Step 6: Final answer
    x = 4,251.74

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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.