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Finding the Fourth Proportional to 3,785.00, 5,685.62 and 3,660.46

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Solution

The fourth proportional to 3,785.00, 5,685.62 and 3,660.46 is: 5,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.00 : 5,685.62 = 3,660.46 : x
  2. Step 2: Convert to fraction form
    3,785.00/5,685.62 = 3,660.46/x
  3. Step 3: Cross multiply
    3,785.00x = 5,685.62 × 3,660.46
  4. Step 4: Simplify right side
    3,785.00x = 20,811,952.07
  5. Step 5: Solve for x
    x = 20,811,952.07/3,785.00
  6. Step 6: Final answer
    x = 5,498.54

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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.