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Finding the Fourth Proportional to 6,449.09, 8,899.74 and 3,616.52

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Solution

The fourth proportional to 6,449.09, 8,899.74 and 3,616.52 is: 4,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.09 : 8,899.74 = 3,616.52 : x
  2. Step 2: Convert to fraction form
    6,449.09/8,899.74 = 3,616.52/x
  3. Step 3: Cross multiply
    6,449.09x = 8,899.74 × 3,616.52
  4. Step 4: Simplify right side
    6,449.09x = 32,186,043.21
  5. Step 5: Solve for x
    x = 32,186,043.21/6,449.09
  6. Step 6: Final answer
    x = 4,990.79

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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.