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Finding the Fourth Proportional to 6,412.82, 8,849.85 and 3,618.50

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Solution

The fourth proportional to 6,412.82, 8,849.85 and 3,618.50 is: 4,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.82 : 8,849.85 = 3,618.50 : x
  2. Step 2: Convert to fraction form
    6,412.82/8,849.85 = 3,618.50/x
  3. Step 3: Cross multiply
    6,412.82x = 8,849.85 × 3,618.50
  4. Step 4: Simplify right side
    6,412.82x = 32,023,182.23
  5. Step 5: Solve for x
    x = 32,023,182.23/6,412.82
  6. Step 6: Final answer
    x = 4,993.62

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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.