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Finding the Fourth Proportional to 5,664.57, 8,499.64 and 2,546.78

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Solution

The fourth proportional to 5,664.57, 8,499.64 and 2,546.78 is: 3,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.57 : 8,499.64 = 2,546.78 : x
  2. Step 2: Convert to fraction form
    5,664.57/8,499.64 = 2,546.78/x
  3. Step 3: Cross multiply
    5,664.57x = 8,499.64 × 2,546.78
  4. Step 4: Simplify right side
    5,664.57x = 21,646,657.93
  5. Step 5: Solve for x
    x = 21,646,657.93/5,664.57
  6. Step 6: Final answer
    x = 3,821.41

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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.