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Finding the Fourth Proportional to 5,932.66, 8,188.68 and 3,693.20

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Solution

The fourth proportional to 5,932.66, 8,188.68 and 3,693.20 is: 5,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.66 : 8,188.68 = 3,693.20 : x
  2. Step 2: Convert to fraction form
    5,932.66/8,188.68 = 3,693.20/x
  3. Step 3: Cross multiply
    5,932.66x = 8,188.68 × 3,693.20
  4. Step 4: Simplify right side
    5,932.66x = 30,242,385.11
  5. Step 5: Solve for x
    x = 30,242,385.11/5,932.66
  6. Step 6: Final answer
    x = 5,097.61

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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.