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Finding the Fourth Proportional to 3,722.76, 5,136.66 and 2,150.46

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Solution

The fourth proportional to 3,722.76, 5,136.66 and 2,150.46 is: 2,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.76 : 5,136.66 = 2,150.46 : x
  2. Step 2: Convert to fraction form
    3,722.76/5,136.66 = 2,150.46/x
  3. Step 3: Cross multiply
    3,722.76x = 5,136.66 × 2,150.46
  4. Step 4: Simplify right side
    3,722.76x = 11,046,181.86
  5. Step 5: Solve for x
    x = 11,046,181.86/3,722.76
  6. Step 6: Final answer
    x = 2,967.20

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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.