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Finding the Fourth Proportional to 5,932.90, 8,188.25 and 3,695.48

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Solution

The fourth proportional to 5,932.90, 8,188.25 and 3,695.48 is: 5,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.90 : 8,188.25 = 3,695.48 : x
  2. Step 2: Convert to fraction form
    5,932.90/8,188.25 = 3,695.48/x
  3. Step 3: Cross multiply
    5,932.90x = 8,188.25 × 3,695.48
  4. Step 4: Simplify right side
    5,932.90x = 30,259,514.11
  5. Step 5: Solve for x
    x = 30,259,514.11/5,932.90
  6. Step 6: Final answer
    x = 5,100.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.