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Finding the Fourth Proportional to 3,779.79, 5,216.99 and 2,208.80

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Solution

The fourth proportional to 3,779.79, 5,216.99 and 2,208.80 is: 3,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.79 : 5,216.99 = 2,208.80 : x
  2. Step 2: Convert to fraction form
    3,779.79/5,216.99 = 2,208.80/x
  3. Step 3: Cross multiply
    3,779.79x = 5,216.99 × 2,208.80
  4. Step 4: Simplify right side
    3,779.79x = 11,523,250.38
  5. Step 5: Solve for x
    x = 11,523,250.38/3,779.79
  6. Step 6: Final answer
    x = 3,048.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.