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Finding the Fourth Proportional to 3,411.58, 5,116.11 and 2,682.58

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Solution

The fourth proportional to 3,411.58, 5,116.11 and 2,682.58 is: 4,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.58 : 5,116.11 = 2,682.58 : x
  2. Step 2: Convert to fraction form
    3,411.58/5,116.11 = 2,682.58/x
  3. Step 3: Cross multiply
    3,411.58x = 5,116.11 × 2,682.58
  4. Step 4: Simplify right side
    3,411.58x = 13,724,374.36
  5. Step 5: Solve for x
    x = 13,724,374.36/3,411.58
  6. Step 6: Final answer
    x = 4,022.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.