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Finding the Fourth Proportional to 5,638.68, 7,777.98 and 3,541.08

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Solution

The fourth proportional to 5,638.68, 7,777.98 and 3,541.08 is: 4,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.68 : 7,777.98 = 3,541.08 : x
  2. Step 2: Convert to fraction form
    5,638.68/7,777.98 = 3,541.08/x
  3. Step 3: Cross multiply
    5,638.68x = 7,777.98 × 3,541.08
  4. Step 4: Simplify right side
    5,638.68x = 27,542,449.42
  5. Step 5: Solve for x
    x = 27,542,449.42/5,638.68
  6. Step 6: Final answer
    x = 4,884.56

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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.