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Finding the Fourth Proportional to 3,785.00, 5,677.78 and 1,011.61

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Solution

The fourth proportional to 3,785.00, 5,677.78 and 1,011.61 is: 1,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.00 : 5,677.78 = 1,011.61 : x
  2. Step 2: Convert to fraction form
    3,785.00/5,677.78 = 1,011.61/x
  3. Step 3: Cross multiply
    3,785.00x = 5,677.78 × 1,011.61
  4. Step 4: Simplify right side
    3,785.00x = 5,743,682.30
  5. Step 5: Solve for x
    x = 5,743,682.30/3,785.00
  6. Step 6: Final answer
    x = 1,517.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.