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Finding the Fourth Proportional to 4,633.83, 6,949.50 and 2,166.24

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Solution

The fourth proportional to 4,633.83, 6,949.50 and 2,166.24 is: 3,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.83 : 6,949.50 = 2,166.24 : x
  2. Step 2: Convert to fraction form
    4,633.83/6,949.50 = 2,166.24/x
  3. Step 3: Cross multiply
    4,633.83x = 6,949.50 × 2,166.24
  4. Step 4: Simplify right side
    4,633.83x = 15,054,284.88
  5. Step 5: Solve for x
    x = 15,054,284.88/4,633.83
  6. Step 6: Final answer
    x = 3,248.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.