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Finding the Fourth Proportional to 3,779.01, 5,214.23 and 2,206.39

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Solution

The fourth proportional to 3,779.01, 5,214.23 and 2,206.39 is: 3,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.01 : 5,214.23 = 2,206.39 : x
  2. Step 2: Convert to fraction form
    3,779.01/5,214.23 = 2,206.39/x
  3. Step 3: Cross multiply
    3,779.01x = 5,214.23 × 2,206.39
  4. Step 4: Simplify right side
    3,779.01x = 11,504,613.90
  5. Step 5: Solve for x
    x = 11,504,613.90/3,779.01
  6. Step 6: Final answer
    x = 3,044.35

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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.