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Finding the Fourth Proportional to 3,887.68, 5,364.80 and 2,119.20

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Solution

The fourth proportional to 3,887.68, 5,364.80 and 2,119.20 is: 2,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.68 : 5,364.80 = 2,119.20 : x
  2. Step 2: Convert to fraction form
    3,887.68/5,364.80 = 2,119.20/x
  3. Step 3: Cross multiply
    3,887.68x = 5,364.80 × 2,119.20
  4. Step 4: Simplify right side
    3,887.68x = 11,369,084.16
  5. Step 5: Solve for x
    x = 11,369,084.16/3,887.68
  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.