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Finding the Fourth Proportional to 4,635.95, 6,398.22 and 2,646.05

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Solution

The fourth proportional to 4,635.95, 6,398.22 and 2,646.05 is: 3,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.95 : 6,398.22 = 2,646.05 : x
  2. Step 2: Convert to fraction form
    4,635.95/6,398.22 = 2,646.05/x
  3. Step 3: Cross multiply
    4,635.95x = 6,398.22 × 2,646.05
  4. Step 4: Simplify right side
    4,635.95x = 16,929,978.04
  5. Step 5: Solve for x
    x = 16,929,978.04/4,635.95
  6. Step 6: Final answer
    x = 3,651.89

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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.