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Finding the Fourth Proportional to 3,705.66, 5,112.81 and 2,212.92

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Solution

The fourth proportional to 3,705.66, 5,112.81 and 2,212.92 is: 3,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.66 : 5,112.81 = 2,212.92 : x
  2. Step 2: Convert to fraction form
    3,705.66/5,112.81 = 2,212.92/x
  3. Step 3: Cross multiply
    3,705.66x = 5,112.81 × 2,212.92
  4. Step 4: Simplify right side
    3,705.66x = 11,314,239.51
  5. Step 5: Solve for x
    x = 11,314,239.51/3,705.66
  6. Step 6: Final answer
    x = 3,053.23

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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.