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Finding the Fourth Proportional to 6,012, 8,296.56 and 3,653.70

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Solution

The fourth proportional to 6,012, 8,296.56 and 3,653.70 is: 5,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012 : 8,296.56 = 3,653.70 : x
  2. Step 2: Convert to fraction form
    6,012/8,296.56 = 3,653.70/x
  3. Step 3: Cross multiply
    6,012x = 8,296.56 × 3,653.70
  4. Step 4: Simplify right side
    6,012x = 30,313,141.27
  5. Step 5: Solve for x
    x = 30,313,141.27/6,012
  6. Step 6: Final answer
    x = 5,042.11

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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.