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Finding the Fourth Proportional to 2,627.83, 3,937.64 and 2,236.23

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Solution

The fourth proportional to 2,627.83, 3,937.64 and 2,236.23 is: 3,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.83 : 3,937.64 = 2,236.23 : x
  2. Step 2: Convert to fraction form
    2,627.83/3,937.64 = 2,236.23/x
  3. Step 3: Cross multiply
    2,627.83x = 3,937.64 × 2,236.23
  4. Step 4: Simplify right side
    2,627.83x = 8,805,457.52
  5. Step 5: Solve for x
    x = 8,805,457.52/2,627.83
  6. Step 6: Final answer
    x = 3,350.85

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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.