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Finding the Fourth Proportional to 6,678.70, 9,216.56 and 3,694.58

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Solution

The fourth proportional to 6,678.70, 9,216.56 and 3,694.58 is: 5,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.70 : 9,216.56 = 3,694.58 : x
  2. Step 2: Convert to fraction form
    6,678.70/9,216.56 = 3,694.58/x
  3. Step 3: Cross multiply
    6,678.70x = 9,216.56 × 3,694.58
  4. Step 4: Simplify right side
    6,678.70x = 34,051,318.24
  5. Step 5: Solve for x
    x = 34,051,318.24/6,678.70
  6. Step 6: Final answer
    x = 5,098.49

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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.