Home / 3,414.89-4,714-2,296.47

Finding the Fourth Proportional to 3,414.89, 4,714 and 2,296.47

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Solution

The fourth proportional to 3,414.89, 4,714 and 2,296.47 is: 3,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.89 : 4,714 = 2,296.47 : x
  2. Step 2: Convert to fraction form
    3,414.89/4,714 = 2,296.47/x
  3. Step 3: Cross multiply
    3,414.89x = 4,714 × 2,296.47
  4. Step 4: Simplify right side
    3,414.89x = 10,825,559.58
  5. Step 5: Solve for x
    x = 10,825,559.58/3,414.89
  6. Step 6: Final answer
    x = 3,170.10

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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.