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Finding the Fourth Proportional to 5,961.12, 8,234.64 and 5,669.52

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Solution

The fourth proportional to 5,961.12, 8,234.64 and 5,669.52 is: 7,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.12 : 8,234.64 = 5,669.52 : x
  2. Step 2: Convert to fraction form
    5,961.12/8,234.64 = 5,669.52/x
  3. Step 3: Cross multiply
    5,961.12x = 8,234.64 × 5,669.52
  4. Step 4: Simplify right side
    5,961.12x = 46,686,456.17
  5. Step 5: Solve for x
    x = 46,686,456.17/5,961.12
  6. Step 6: Final answer
    x = 7,831.83

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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.