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Finding the Fourth Proportional to 6,448.20, 8,898.89 and 3,616.49

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Solution

The fourth proportional to 6,448.20, 8,898.89 and 3,616.49 is: 4,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.20 : 8,898.89 = 3,616.49 : x
  2. Step 2: Convert to fraction form
    6,448.20/8,898.89 = 3,616.49/x
  3. Step 3: Cross multiply
    6,448.20x = 8,898.89 × 3,616.49
  4. Step 4: Simplify right side
    6,448.20x = 32,182,684.12
  5. Step 5: Solve for x
    x = 32,182,684.12/6,448.20
  6. Step 6: Final answer
    x = 4,990.96

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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.