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Finding the Fourth Proportional to 3,808.08, 5,706 and 2,829.24

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Solution

The fourth proportional to 3,808.08, 5,706 and 2,829.24 is: 4,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.08 : 5,706 = 2,829.24 : x
  2. Step 2: Convert to fraction form
    3,808.08/5,706 = 2,829.24/x
  3. Step 3: Cross multiply
    3,808.08x = 5,706 × 2,829.24
  4. Step 4: Simplify right side
    3,808.08x = 16,143,643.44
  5. Step 5: Solve for x
    x = 16,143,643.44/3,808.08
  6. Step 6: Final answer
    x = 4,239.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.