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Finding the Fourth Proportional to 5,963.84, 8,224.38 and 3,837.20

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Solution

The fourth proportional to 5,963.84, 8,224.38 and 3,837.20 is: 5,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.84 : 8,224.38 = 3,837.20 : x
  2. Step 2: Convert to fraction form
    5,963.84/8,224.38 = 3,837.20/x
  3. Step 3: Cross multiply
    5,963.84x = 8,224.38 × 3,837.20
  4. Step 4: Simplify right side
    5,963.84x = 31,558,590.94
  5. Step 5: Solve for x
    x = 31,558,590.94/5,963.84
  6. Step 6: Final answer
    x = 5,291.66

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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.