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Finding the Fourth Proportional to 5,469.93, 8,200.98 and 2,546.64

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Solution

The fourth proportional to 5,469.93, 8,200.98 and 2,546.64 is: 3,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.93 : 8,200.98 = 2,546.64 : x
  2. Step 2: Convert to fraction form
    5,469.93/8,200.98 = 2,546.64/x
  3. Step 3: Cross multiply
    5,469.93x = 8,200.98 × 2,546.64
  4. Step 4: Simplify right side
    5,469.93x = 20,884,943.71
  5. Step 5: Solve for x
    x = 20,884,943.71/5,469.93
  6. Step 6: Final answer
    x = 3,818.14

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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.