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Finding the Fourth Proportional to 5,953.15, 8,211.06 and 3,934.22

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Solution

The fourth proportional to 5,953.15, 8,211.06 and 3,934.22 is: 5,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.15 : 8,211.06 = 3,934.22 : x
  2. Step 2: Convert to fraction form
    5,953.15/8,211.06 = 3,934.22/x
  3. Step 3: Cross multiply
    5,953.15x = 8,211.06 × 3,934.22
  4. Step 4: Simplify right side
    5,953.15x = 32,304,116.47
  5. Step 5: Solve for x
    x = 32,304,116.47/5,953.15
  6. Step 6: Final answer
    x = 5,426.39

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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.