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Finding the Fourth Proportional to 3,803.98, 5,703.04 and 2,414.43

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Solution

The fourth proportional to 3,803.98, 5,703.04 and 2,414.43 is: 3,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.98 : 5,703.04 = 2,414.43 : x
  2. Step 2: Convert to fraction form
    3,803.98/5,703.04 = 2,414.43/x
  3. Step 3: Cross multiply
    3,803.98x = 5,703.04 × 2,414.43
  4. Step 4: Simplify right side
    3,803.98x = 13,769,590.87
  5. Step 5: Solve for x
    x = 13,769,590.87/3,803.98
  6. Step 6: Final answer
    x = 3,619.79

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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.