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Finding the Fourth Proportional to 4,839.93, 6,682.29 and 3,718.80

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Solution

The fourth proportional to 4,839.93, 6,682.29 and 3,718.80 is: 5,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.93 : 6,682.29 = 3,718.80 : x
  2. Step 2: Convert to fraction form
    4,839.93/6,682.29 = 3,718.80/x
  3. Step 3: Cross multiply
    4,839.93x = 6,682.29 × 3,718.80
  4. Step 4: Simplify right side
    4,839.93x = 24,850,100.05
  5. Step 5: Solve for x
    x = 24,850,100.05/4,839.93
  6. Step 6: Final answer
    x = 5,134.39

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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.