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Finding the Fourth Proportional to 5,711.09, 7,883.87 and 3,353.38

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Solution

The fourth proportional to 5,711.09, 7,883.87 and 3,353.38 is: 4,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.09 : 7,883.87 = 3,353.38 : x
  2. Step 2: Convert to fraction form
    5,711.09/7,883.87 = 3,353.38/x
  3. Step 3: Cross multiply
    5,711.09x = 7,883.87 × 3,353.38
  4. Step 4: Simplify right side
    5,711.09x = 26,437,555.79
  5. Step 5: Solve for x
    x = 26,437,555.79/5,711.09
  6. Step 6: Final answer
    x = 4,629.16

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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.