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Finding the Fourth Proportional to 4,694.52, 6,477.39 and 2,806.77

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Solution

The fourth proportional to 4,694.52, 6,477.39 and 2,806.77 is: 3,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.52 : 6,477.39 = 2,806.77 : x
  2. Step 2: Convert to fraction form
    4,694.52/6,477.39 = 2,806.77/x
  3. Step 3: Cross multiply
    4,694.52x = 6,477.39 × 2,806.77
  4. Step 4: Simplify right side
    4,694.52x = 18,180,543.93
  5. Step 5: Solve for x
    x = 18,180,543.93/4,694.52
  6. Step 6: Final answer
    x = 3,872.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.