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Finding the Fourth Proportional to 4,684.57, 6,464.34 and 2,694.74

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Solution

The fourth proportional to 4,684.57, 6,464.34 and 2,694.74 is: 3,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.57 : 6,464.34 = 2,694.74 : x
  2. Step 2: Convert to fraction form
    4,684.57/6,464.34 = 2,694.74/x
  3. Step 3: Cross multiply
    4,684.57x = 6,464.34 × 2,694.74
  4. Step 4: Simplify right side
    4,684.57x = 17,419,715.57
  5. Step 5: Solve for x
    x = 17,419,715.57/4,684.57
  6. Step 6: Final answer
    x = 3,718.53

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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.