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Finding the Fourth Proportional to 3,778.72, 5,215.52 and 2,536

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Solution

The fourth proportional to 3,778.72, 5,215.52 and 2,536 is: 3,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.72 : 5,215.52 = 2,536 : x
  2. Step 2: Convert to fraction form
    3,778.72/5,215.52 = 2,536/x
  3. Step 3: Cross multiply
    3,778.72x = 5,215.52 × 2,536
  4. Step 4: Simplify right side
    3,778.72x = 13,226,558.72
  5. Step 5: Solve for x
    x = 13,226,558.72/3,778.72
  6. Step 6: Final answer
    x = 3,500.27

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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.