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Finding the Fourth Proportional to 3,971.98, 5,481.84 and 2,400.13

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Solution

The fourth proportional to 3,971.98, 5,481.84 and 2,400.13 is: 3,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.98 : 5,481.84 = 2,400.13 : x
  2. Step 2: Convert to fraction form
    3,971.98/5,481.84 = 2,400.13/x
  3. Step 3: Cross multiply
    3,971.98x = 5,481.84 × 2,400.13
  4. Step 4: Simplify right side
    3,971.98x = 13,157,128.64
  5. Step 5: Solve for x
    x = 13,157,128.64/3,971.98
  6. Step 6: Final answer
    x = 3,312.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.