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Finding the Fourth Proportional to 4,224.42, 6,337.85 and 1,757.97

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Solution

The fourth proportional to 4,224.42, 6,337.85 and 1,757.97 is: 2,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.42 : 6,337.85 = 1,757.97 : x
  2. Step 2: Convert to fraction form
    4,224.42/6,337.85 = 1,757.97/x
  3. Step 3: Cross multiply
    4,224.42x = 6,337.85 × 1,757.97
  4. Step 4: Simplify right side
    4,224.42x = 11,141,741.37
  5. Step 5: Solve for x
    x = 11,141,741.37/4,224.42
  6. Step 6: Final answer
    x = 2,637.46

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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.