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Finding the Fourth Proportional to 3,811.80, 5,260.25 and 2,133.20

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Solution

The fourth proportional to 3,811.80, 5,260.25 and 2,133.20 is: 2,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.80 : 5,260.25 = 2,133.20 : x
  2. Step 2: Convert to fraction form
    3,811.80/5,260.25 = 2,133.20/x
  3. Step 3: Cross multiply
    3,811.80x = 5,260.25 × 2,133.20
  4. Step 4: Simplify right side
    3,811.80x = 11,221,165.30
  5. Step 5: Solve for x
    x = 11,221,165.30/3,811.80
  6. Step 6: Final answer
    x = 2,943.80

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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.