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Finding the Fourth Proportional to 5,382.17, 8,071.13 and 2,263.67

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Solution

The fourth proportional to 5,382.17, 8,071.13 and 2,263.67 is: 3,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.17 : 8,071.13 = 2,263.67 : x
  2. Step 2: Convert to fraction form
    5,382.17/8,071.13 = 2,263.67/x
  3. Step 3: Cross multiply
    5,382.17x = 8,071.13 × 2,263.67
  4. Step 4: Simplify right side
    5,382.17x = 18,270,340.15
  5. Step 5: Solve for x
    x = 18,270,340.15/5,382.17
  6. Step 6: Final answer
    x = 3,394.61

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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.