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Finding the Fourth Proportional to 3,908.88, 5,382.36 and 3,822.48

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Solution

The fourth proportional to 3,908.88, 5,382.36 and 3,822.48 is: 5,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.88 : 5,382.36 = 3,822.48 : x
  2. Step 2: Convert to fraction form
    3,908.88/5,382.36 = 3,822.48/x
  3. Step 3: Cross multiply
    3,908.88x = 5,382.36 × 3,822.48
  4. Step 4: Simplify right side
    3,908.88x = 20,573,963.45
  5. Step 5: Solve for x
    x = 20,573,963.45/3,908.88
  6. Step 6: Final answer
    x = 5,263.39

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1.5x scale

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.