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Finding the Fourth Proportional to 3,984.14, 5,498.22 and 2,411.32

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Solution

The fourth proportional to 3,984.14, 5,498.22 and 2,411.32 is: 3,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.14 : 5,498.22 = 2,411.32 : x
  2. Step 2: Convert to fraction form
    3,984.14/5,498.22 = 2,411.32/x
  3. Step 3: Cross multiply
    3,984.14x = 5,498.22 × 2,411.32
  4. Step 4: Simplify right side
    3,984.14x = 13,257,967.85
  5. Step 5: Solve for x
    x = 13,257,967.85/3,984.14
  6. Step 6: Final answer
    x = 3,327.69

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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.