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Finding the Fourth Proportional to 3,414.79, 4,713.72 and 2,298.91

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Solution

The fourth proportional to 3,414.79, 4,713.72 and 2,298.91 is: 3,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.79 : 4,713.72 = 2,298.91 : x
  2. Step 2: Convert to fraction form
    3,414.79/4,713.72 = 2,298.91/x
  3. Step 3: Cross multiply
    3,414.79x = 4,713.72 × 2,298.91
  4. Step 4: Simplify right side
    3,414.79x = 10,836,418.05
  5. Step 5: Solve for x
    x = 10,836,418.05/3,414.79
  6. Step 6: Final answer
    x = 3,173.38

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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.