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Finding the Fourth Proportional to 6,071.50, 8,378.44 and 3,382.65

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Solution

The fourth proportional to 6,071.50, 8,378.44 and 3,382.65 is: 4,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.50 : 8,378.44 = 3,382.65 : x
  2. Step 2: Convert to fraction form
    6,071.50/8,378.44 = 3,382.65/x
  3. Step 3: Cross multiply
    6,071.50x = 8,378.44 × 3,382.65
  4. Step 4: Simplify right side
    6,071.50x = 28,341,351.01
  5. Step 5: Solve for x
    x = 28,341,351.01/6,071.50
  6. Step 6: Final answer
    x = 4,667.93

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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.