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Finding the Fourth Proportional to 3,785.99, 5,225.01 and 2,107.77

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Solution

The fourth proportional to 3,785.99, 5,225.01 and 2,107.77 is: 2,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.99 : 5,225.01 = 2,107.77 : x
  2. Step 2: Convert to fraction form
    3,785.99/5,225.01 = 2,107.77/x
  3. Step 3: Cross multiply
    3,785.99x = 5,225.01 × 2,107.77
  4. Step 4: Simplify right side
    3,785.99x = 11,013,119.33
  5. Step 5: Solve for x
    x = 11,013,119.33/3,785.99
  6. Step 6: Final answer
    x = 2,908.91

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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.