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Finding the Fourth Proportional to 3,393.20, 5,087.41 and 1,311.45

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Solution

The fourth proportional to 3,393.20, 5,087.41 and 1,311.45 is: 1,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.20 : 5,087.41 = 1,311.45 : x
  2. Step 2: Convert to fraction form
    3,393.20/5,087.41 = 1,311.45/x
  3. Step 3: Cross multiply
    3,393.20x = 5,087.41 × 1,311.45
  4. Step 4: Simplify right side
    3,393.20x = 6,671,883.84
  5. Step 5: Solve for x
    x = 6,671,883.84/3,393.20
  6. Step 6: Final answer
    x = 1,966.25

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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.