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Finding the Fourth Proportional to 6,453.71, 8,906.49 and 3,802.88

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Solution

The fourth proportional to 6,453.71, 8,906.49 and 3,802.88 is: 5,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.71 : 8,906.49 = 3,802.88 : x
  2. Step 2: Convert to fraction form
    6,453.71/8,906.49 = 3,802.88/x
  3. Step 3: Cross multiply
    6,453.71x = 8,906.49 × 3,802.88
  4. Step 4: Simplify right side
    6,453.71x = 33,870,268.16
  5. Step 5: Solve for x
    x = 33,870,268.16/6,453.71
  6. Step 6: Final answer
    x = 5,248.19

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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.