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Finding the Fourth Proportional to 3,813.98, 5,723.16 and 2,058.98

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Solution

The fourth proportional to 3,813.98, 5,723.16 and 2,058.98 is: 3,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.98 : 5,723.16 = 2,058.98 : x
  2. Step 2: Convert to fraction form
    3,813.98/5,723.16 = 2,058.98/x
  3. Step 3: Cross multiply
    3,813.98x = 5,723.16 × 2,058.98
  4. Step 4: Simplify right side
    3,813.98x = 11,783,843.36
  5. Step 5: Solve for x
    x = 11,783,843.36/3,813.98
  6. Step 6: Final answer
    x = 3,089.65

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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.