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Finding the Fourth Proportional to 3,785.02, 5,223.10 and 2,106.10

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Solution

The fourth proportional to 3,785.02, 5,223.10 and 2,106.10 is: 2,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.02 : 5,223.10 = 2,106.10 : x
  2. Step 2: Convert to fraction form
    3,785.02/5,223.10 = 2,106.10/x
  3. Step 3: Cross multiply
    3,785.02x = 5,223.10 × 2,106.10
  4. Step 4: Simplify right side
    3,785.02x = 11,000,370.91
  5. Step 5: Solve for x
    x = 11,000,370.91/3,785.02
  6. Step 6: Final answer
    x = 2,906.29

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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.