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Finding the Fourth Proportional to 4,635.44, 6,398.08 and 2,866

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Solution

The fourth proportional to 4,635.44, 6,398.08 and 2,866 is: 3,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.44 : 6,398.08 = 2,866 : x
  2. Step 2: Convert to fraction form
    4,635.44/6,398.08 = 2,866/x
  3. Step 3: Cross multiply
    4,635.44x = 6,398.08 × 2,866
  4. Step 4: Simplify right side
    4,635.44x = 18,336,897.28
  5. Step 5: Solve for x
    x = 18,336,897.28/4,635.44
  6. Step 6: Final answer
    x = 3,955.81

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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.