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Finding the Fourth Proportional to 3,801.84, 5,700.87 and 1,336.29

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Solution

The fourth proportional to 3,801.84, 5,700.87 and 1,336.29 is: 2,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.84 : 5,700.87 = 1,336.29 : x
  2. Step 2: Convert to fraction form
    3,801.84/5,700.87 = 1,336.29/x
  3. Step 3: Cross multiply
    3,801.84x = 5,700.87 × 1,336.29
  4. Step 4: Simplify right side
    3,801.84x = 7,618,015.57
  5. Step 5: Solve for x
    x = 7,618,015.57/3,801.84
  6. Step 6: Final answer
    x = 2,003.77

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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.