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Finding the Fourth Proportional to 4,839.98, 6,682.94 and 3,719.15

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Solution

The fourth proportional to 4,839.98, 6,682.94 and 3,719.15 is: 5,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.98 : 6,682.94 = 3,719.15 : x
  2. Step 2: Convert to fraction form
    4,839.98/6,682.94 = 3,719.15/x
  3. Step 3: Cross multiply
    4,839.98x = 6,682.94 × 3,719.15
  4. Step 4: Simplify right side
    4,839.98x = 24,854,837.71
  5. Step 5: Solve for x
    x = 24,854,837.71/4,839.98
  6. Step 6: Final answer
    x = 5,135.32

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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.