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Finding the Fourth Proportional to 5,923.36, 8,887.92 and 3,844

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Solution

The fourth proportional to 5,923.36, 8,887.92 and 3,844 is: 5,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.36 : 8,887.92 = 3,844 : x
  2. Step 2: Convert to fraction form
    5,923.36/8,887.92 = 3,844/x
  3. Step 3: Cross multiply
    5,923.36x = 8,887.92 × 3,844
  4. Step 4: Simplify right side
    5,923.36x = 34,165,164.48
  5. Step 5: Solve for x
    x = 34,165,164.48/5,923.36
  6. Step 6: Final answer
    x = 5,767.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.