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Finding the Fourth Proportional to 3,772.86, 5,206.59 and 2,094.30

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Solution

The fourth proportional to 3,772.86, 5,206.59 and 2,094.30 is: 2,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.86 : 5,206.59 = 2,094.30 : x
  2. Step 2: Convert to fraction form
    3,772.86/5,206.59 = 2,094.30/x
  3. Step 3: Cross multiply
    3,772.86x = 5,206.59 × 2,094.30
  4. Step 4: Simplify right side
    3,772.86x = 10,904,161.44
  5. Step 5: Solve for x
    x = 10,904,161.44/3,772.86
  6. Step 6: Final answer
    x = 2,890.16

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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.