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Finding the Fourth Proportional to 3,887.44, 5,364.78 and 2,119.08

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Solution

The fourth proportional to 3,887.44, 5,364.78 and 2,119.08 is: 2,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.44 : 5,364.78 = 2,119.08 : x
  2. Step 2: Convert to fraction form
    3,887.44/5,364.78 = 2,119.08/x
  3. Step 3: Cross multiply
    3,887.44x = 5,364.78 × 2,119.08
  4. Step 4: Simplify right side
    3,887.44x = 11,368,398.00
  5. Step 5: Solve for x
    x = 11,368,398.00/3,887.44
  6. Step 6: Final answer
    x = 2,924.39

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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.