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Finding the Fourth Proportional to 5,682.08, 8,523.02 and 1,984.64

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Solution

The fourth proportional to 5,682.08, 8,523.02 and 1,984.64 is: 2,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.08 : 8,523.02 = 1,984.64 : x
  2. Step 2: Convert to fraction form
    5,682.08/8,523.02 = 1,984.64/x
  3. Step 3: Cross multiply
    5,682.08x = 8,523.02 × 1,984.64
  4. Step 4: Simplify right side
    5,682.08x = 16,915,088.76
  5. Step 5: Solve for x
    x = 16,915,088.76/5,682.08
  6. Step 6: Final answer
    x = 2,976.92

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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.