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Finding the Fourth Proportional to 5,382.93, 8,078.09 and 2,096.04

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Solution

The fourth proportional to 5,382.93, 8,078.09 and 2,096.04 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.93 : 8,078.09 = 2,096.04 : x
  2. Step 2: Convert to fraction form
    5,382.93/8,078.09 = 2,096.04/x
  3. Step 3: Cross multiply
    5,382.93x = 8,078.09 × 2,096.04
  4. Step 4: Simplify right side
    5,382.93x = 16,931,989.28
  5. Step 5: Solve for x
    x = 16,931,989.28/5,382.93
  6. Step 6: Final answer
    x = 3,145.50

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1.5x scale

Why These Related Problems?

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