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Finding the Fourth Proportional to 3,213.69, 4,417.86 and 2,763.90

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Solution

The fourth proportional to 3,213.69, 4,417.86 and 2,763.90 is: 3,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.69 : 4,417.86 = 2,763.90 : x
  2. Step 2: Convert to fraction form
    3,213.69/4,417.86 = 2,763.90/x
  3. Step 3: Cross multiply
    3,213.69x = 4,417.86 × 2,763.90
  4. Step 4: Simplify right side
    3,213.69x = 12,210,533.62
  5. Step 5: Solve for x
    x = 12,210,533.62/3,213.69
  6. Step 6: Final answer
    x = 3,799.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.