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Finding the Fourth Proportional to 3,777.52, 5,213.08 and 2,098.88

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Solution

The fourth proportional to 3,777.52, 5,213.08 and 2,098.88 is: 2,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.52 : 5,213.08 = 2,098.88 : x
  2. Step 2: Convert to fraction form
    3,777.52/5,213.08 = 2,098.88/x
  3. Step 3: Cross multiply
    3,777.52x = 5,213.08 × 2,098.88
  4. Step 4: Simplify right side
    3,777.52x = 10,941,629.35
  5. Step 5: Solve for x
    x = 10,941,629.35/3,777.52
  6. Step 6: Final answer
    x = 2,896.51

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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.