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Finding the Fourth Proportional to 3,722.86, 5,137.53 and 2,150.96

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Solution

The fourth proportional to 3,722.86, 5,137.53 and 2,150.96 is: 2,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.86 : 5,137.53 = 2,150.96 : x
  2. Step 2: Convert to fraction form
    3,722.86/5,137.53 = 2,150.96/x
  3. Step 3: Cross multiply
    3,722.86x = 5,137.53 × 2,150.96
  4. Step 4: Simplify right side
    3,722.86x = 11,050,587.78
  5. Step 5: Solve for x
    x = 11,050,587.78/3,722.86
  6. Step 6: Final answer
    x = 2,968.31

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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.