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Finding the Fourth Proportional to 4,635.96, 6,398.22 and 2,646.06

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Solution

The fourth proportional to 4,635.96, 6,398.22 and 2,646.06 is: 3,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.96 : 6,398.22 = 2,646.06 : x
  2. Step 2: Convert to fraction form
    4,635.96/6,398.22 = 2,646.06/x
  3. Step 3: Cross multiply
    4,635.96x = 6,398.22 × 2,646.06
  4. Step 4: Simplify right side
    4,635.96x = 16,930,074.01
  5. Step 5: Solve for x
    x = 16,930,074.01/4,635.96
  6. Step 6: Final answer
    x = 3,651.90

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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.