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Finding the Fourth Proportional to 4,012.60, 6,016.70 and 1,238.51

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Solution

The fourth proportional to 4,012.60, 6,016.70 and 1,238.51 is: 1,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.60 : 6,016.70 = 1,238.51 : x
  2. Step 2: Convert to fraction form
    4,012.60/6,016.70 = 1,238.51/x
  3. Step 3: Cross multiply
    4,012.60x = 6,016.70 × 1,238.51
  4. Step 4: Simplify right side
    4,012.60x = 7,451,743.12
  5. Step 5: Solve for x
    x = 7,451,743.12/4,012.60
  6. Step 6: Final answer
    x = 1,857.09

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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.