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Finding the Fourth Proportional to 4,490.14, 6,736.29 and 1,412.14

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Solution

The fourth proportional to 4,490.14, 6,736.29 and 1,412.14 is: 2,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.14 : 6,736.29 = 1,412.14 : x
  2. Step 2: Convert to fraction form
    4,490.14/6,736.29 = 1,412.14/x
  3. Step 3: Cross multiply
    4,490.14x = 6,736.29 × 1,412.14
  4. Step 4: Simplify right side
    4,490.14x = 9,512,584.56
  5. Step 5: Solve for x
    x = 9,512,584.56/4,490.14
  6. Step 6: Final answer
    x = 2,118.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.