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Finding the Fourth Proportional to 4,683.60, 6,464.61 and 2,694.39

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Solution

The fourth proportional to 4,683.60, 6,464.61 and 2,694.39 is: 3,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.60 : 6,464.61 = 2,694.39 : x
  2. Step 2: Convert to fraction form
    4,683.60/6,464.61 = 2,694.39/x
  3. Step 3: Cross multiply
    4,683.60x = 6,464.61 × 2,694.39
  4. Step 4: Simplify right side
    4,683.60x = 17,418,180.54
  5. Step 5: Solve for x
    x = 17,418,180.54/4,683.60
  6. Step 6: Final answer
    x = 3,718.97

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Why These Related Problems?

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