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Finding the Fourth Proportional to 4,490.75, 6,737.21 and 1,412.75

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Solution

The fourth proportional to 4,490.75, 6,737.21 and 1,412.75 is: 2,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.75 : 6,737.21 = 1,412.75 : x
  2. Step 2: Convert to fraction form
    4,490.75/6,737.21 = 1,412.75/x
  3. Step 3: Cross multiply
    4,490.75x = 6,737.21 × 1,412.75
  4. Step 4: Simplify right side
    4,490.75x = 9,517,993.43
  5. Step 5: Solve for x
    x = 9,517,993.43/4,490.75
  6. Step 6: Final answer
    x = 2,119.47

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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.