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Finding the Fourth Proportional to 3,801.12, 5,724.06 and 3,319.98

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Solution

The fourth proportional to 3,801.12, 5,724.06 and 3,319.98 is: 4,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.12 : 5,724.06 = 3,319.98 : x
  2. Step 2: Convert to fraction form
    3,801.12/5,724.06 = 3,319.98/x
  3. Step 3: Cross multiply
    3,801.12x = 5,724.06 × 3,319.98
  4. Step 4: Simplify right side
    3,801.12x = 19,003,764.72
  5. Step 5: Solve for x
    x = 19,003,764.72/3,801.12
  6. Step 6: Final answer
    x = 4,999.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.