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Finding the Fourth Proportional to 3,712.40, 5,122.90 and 2,033.48

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Solution

The fourth proportional to 3,712.40, 5,122.90 and 2,033.48 is: 2,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.40 : 5,122.90 = 2,033.48 : x
  2. Step 2: Convert to fraction form
    3,712.40/5,122.90 = 2,033.48/x
  3. Step 3: Cross multiply
    3,712.40x = 5,122.90 × 2,033.48
  4. Step 4: Simplify right side
    3,712.40x = 10,417,314.69
  5. Step 5: Solve for x
    x = 10,417,314.69/3,712.40
  6. Step 6: Final answer
    x = 2,806.09

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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.