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Finding the Fourth Proportional to 5,382.54, 8,071.74 and 2,095.20

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Solution

The fourth proportional to 5,382.54, 8,071.74 and 2,095.20 is: 3,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.54 : 8,071.74 = 2,095.20 : x
  2. Step 2: Convert to fraction form
    5,382.54/8,071.74 = 2,095.20/x
  3. Step 3: Cross multiply
    5,382.54x = 8,071.74 × 2,095.20
  4. Step 4: Simplify right side
    5,382.54x = 16,911,909.65
  5. Step 5: Solve for x
    x = 16,911,909.65/5,382.54
  6. Step 6: Final answer
    x = 3,141.99

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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.