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Finding the Fourth Proportional to 5,041.76, 6,958.24 and 3,992

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Solution

The fourth proportional to 5,041.76, 6,958.24 and 3,992 is: 5,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.76 : 6,958.24 = 3,992 : x
  2. Step 2: Convert to fraction form
    5,041.76/6,958.24 = 3,992/x
  3. Step 3: Cross multiply
    5,041.76x = 6,958.24 × 3,992
  4. Step 4: Simplify right side
    5,041.76x = 27,777,294.08
  5. Step 5: Solve for x
    x = 27,777,294.08/5,041.76
  6. Step 6: Final answer
    x = 5,509.44

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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.