Home / 3,424.16-4,724.98-2,008

Finding the Fourth Proportional to 3,424.16, 4,724.98 and 2,008

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Solution

The fourth proportional to 3,424.16, 4,724.98 and 2,008 is: 2,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.16 : 4,724.98 = 2,008 : x
  2. Step 2: Convert to fraction form
    3,424.16/4,724.98 = 2,008/x
  3. Step 3: Cross multiply
    3,424.16x = 4,724.98 × 2,008
  4. Step 4: Simplify right side
    3,424.16x = 9,487,759.84
  5. Step 5: Solve for x
    x = 9,487,759.84/3,424.16
  6. Step 6: Final answer
    x = 2,770.83

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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.