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Finding the Fourth Proportional to 5,788.94, 7,992.69 and 3,695.90

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Solution

The fourth proportional to 5,788.94, 7,992.69 and 3,695.90 is: 5,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.94 : 7,992.69 = 3,695.90 : x
  2. Step 2: Convert to fraction form
    5,788.94/7,992.69 = 3,695.90/x
  3. Step 3: Cross multiply
    5,788.94x = 7,992.69 × 3,695.90
  4. Step 4: Simplify right side
    5,788.94x = 29,540,182.97
  5. Step 5: Solve for x
    x = 29,540,182.97/5,788.94
  6. Step 6: Final answer
    x = 5,102.87

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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.