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Finding the Fourth Proportional to 3,418.64, 5,122.86 and 2,806.64

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Solution

The fourth proportional to 3,418.64, 5,122.86 and 2,806.64 is: 4,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.64 : 5,122.86 = 2,806.64 : x
  2. Step 2: Convert to fraction form
    3,418.64/5,122.86 = 2,806.64/x
  3. Step 3: Cross multiply
    3,418.64x = 5,122.86 × 2,806.64
  4. Step 4: Simplify right side
    3,418.64x = 14,378,023.79
  5. Step 5: Solve for x
    x = 14,378,023.79/3,418.64
  6. Step 6: Final answer
    x = 4,205.77

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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.