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Finding the Fourth Proportional to 6,287.68, 8,678.56 and 3,636.63

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Solution

The fourth proportional to 6,287.68, 8,678.56 and 3,636.63 is: 5,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.68 : 8,678.56 = 3,636.63 : x
  2. Step 2: Convert to fraction form
    6,287.68/8,678.56 = 3,636.63/x
  3. Step 3: Cross multiply
    6,287.68x = 8,678.56 × 3,636.63
  4. Step 4: Simplify right side
    6,287.68x = 31,560,659.17
  5. Step 5: Solve for x
    x = 31,560,659.17/6,287.68
  6. Step 6: Final answer
    x = 5,019.44

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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.