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Finding the Fourth Proportional to 5,633.12, 8,449.70 and 3,323

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Solution

The fourth proportional to 5,633.12, 8,449.70 and 3,323 is: 4,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.12 : 8,449.70 = 3,323 : x
  2. Step 2: Convert to fraction form
    5,633.12/8,449.70 = 3,323/x
  3. Step 3: Cross multiply
    5,633.12x = 8,449.70 × 3,323
  4. Step 4: Simplify right side
    5,633.12x = 28,078,353.10
  5. Step 5: Solve for x
    x = 28,078,353.10/5,633.12
  6. Step 6: Final answer
    x = 4,984.51

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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.