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Finding the Fourth Proportional to 5,711.69, 7,883.16 and 3,353.96

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Solution

The fourth proportional to 5,711.69, 7,883.16 and 3,353.96 is: 4,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.69 : 7,883.16 = 3,353.96 : x
  2. Step 2: Convert to fraction form
    5,711.69/7,883.16 = 3,353.96/x
  3. Step 3: Cross multiply
    5,711.69x = 7,883.16 × 3,353.96
  4. Step 4: Simplify right side
    5,711.69x = 26,439,803.31
  5. Step 5: Solve for x
    x = 26,439,803.31/5,711.69
  6. Step 6: Final answer
    x = 4,629.07

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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.