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Finding the Fourth Proportional to 5,541.44, 8,340.05 and 4,162

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Solution

The fourth proportional to 5,541.44, 8,340.05 and 4,162 is: 6,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.44 : 8,340.05 = 4,162 : x
  2. Step 2: Convert to fraction form
    5,541.44/8,340.05 = 4,162/x
  3. Step 3: Cross multiply
    5,541.44x = 8,340.05 × 4,162
  4. Step 4: Simplify right side
    5,541.44x = 34,711,288.10
  5. Step 5: Solve for x
    x = 34,711,288.10/5,541.44
  6. Step 6: Final answer
    x = 6,263.95

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