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Finding the Fourth Proportional to 3,984.36, 5,497.11 and 2,411.88

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Solution

The fourth proportional to 3,984.36, 5,497.11 and 2,411.88 is: 3,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.36 : 5,497.11 = 2,411.88 : x
  2. Step 2: Convert to fraction form
    3,984.36/5,497.11 = 2,411.88/x
  3. Step 3: Cross multiply
    3,984.36x = 5,497.11 × 2,411.88
  4. Step 4: Simplify right side
    3,984.36x = 13,258,369.67
  5. Step 5: Solve for x
    x = 13,258,369.67/3,984.36
  6. Step 6: Final answer
    x = 3,327.60

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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.