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Finding the Fourth Proportional to 5,883.78, 8,112.24 and 4,309.14

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Solution

The fourth proportional to 5,883.78, 8,112.24 and 4,309.14 is: 5,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.78 : 8,112.24 = 4,309.14 : x
  2. Step 2: Convert to fraction form
    5,883.78/8,112.24 = 4,309.14/x
  3. Step 3: Cross multiply
    5,883.78x = 8,112.24 × 4,309.14
  4. Step 4: Simplify right side
    5,883.78x = 34,956,777.87
  5. Step 5: Solve for x
    x = 34,956,777.87/5,883.78
  6. Step 6: Final answer
    x = 5,941.21

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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.