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Finding the Fourth Proportional to 5,961.70, 8,221.48 and 4,345.14

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Solution

The fourth proportional to 5,961.70, 8,221.48 and 4,345.14 is: 5,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.70 : 8,221.48 = 4,345.14 : x
  2. Step 2: Convert to fraction form
    5,961.70/8,221.48 = 4,345.14/x
  3. Step 3: Cross multiply
    5,961.70x = 8,221.48 × 4,345.14
  4. Step 4: Simplify right side
    5,961.70x = 35,723,481.61
  5. Step 5: Solve for x
    x = 35,723,481.61/5,961.70
  6. Step 6: Final answer
    x = 5,992.16

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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.