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Finding the Fourth Proportional to 4,683, 6,462.96 and 2,694.24

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Solution

The fourth proportional to 4,683, 6,462.96 and 2,694.24 is: 3,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683 : 6,462.96 = 2,694.24 : x
  2. Step 2: Convert to fraction form
    4,683/6,462.96 = 2,694.24/x
  3. Step 3: Cross multiply
    4,683x = 6,462.96 × 2,694.24
  4. Step 4: Simplify right side
    4,683x = 17,412,765.35
  5. Step 5: Solve for x
    x = 17,412,765.35/4,683
  6. Step 6: Final answer
    x = 3,718.29

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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.