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Finding the Fourth Proportional to 4,635.66, 6,398.40 and 2,866.23

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Solution

The fourth proportional to 4,635.66, 6,398.40 and 2,866.23 is: 3,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.66 : 6,398.40 = 2,866.23 : x
  2. Step 2: Convert to fraction form
    4,635.66/6,398.40 = 2,866.23/x
  3. Step 3: Cross multiply
    4,635.66x = 6,398.40 × 2,866.23
  4. Step 4: Simplify right side
    4,635.66x = 18,339,286.03
  5. Step 5: Solve for x
    x = 18,339,286.03/4,635.66
  6. Step 6: Final answer
    x = 3,956.13

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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.