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Finding the Fourth Proportional to 4,012.49, 6,018.73 and 2,164.47

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Solution

The fourth proportional to 4,012.49, 6,018.73 and 2,164.47 is: 3,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.49 : 6,018.73 = 2,164.47 : x
  2. Step 2: Convert to fraction form
    4,012.49/6,018.73 = 2,164.47/x
  3. Step 3: Cross multiply
    4,012.49x = 6,018.73 × 2,164.47
  4. Step 4: Simplify right side
    4,012.49x = 13,027,355.11
  5. Step 5: Solve for x
    x = 13,027,355.11/4,012.49
  6. Step 6: Final answer
    x = 3,246.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.