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Finding the Fourth Proportional to 3,935.93, 5,430.74 and 2,342.30

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Solution

The fourth proportional to 3,935.93, 5,430.74 and 2,342.30 is: 3,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.93 : 5,430.74 = 2,342.30 : x
  2. Step 2: Convert to fraction form
    3,935.93/5,430.74 = 2,342.30/x
  3. Step 3: Cross multiply
    3,935.93x = 5,430.74 × 2,342.30
  4. Step 4: Simplify right side
    3,935.93x = 12,720,383.44
  5. Step 5: Solve for x
    x = 12,720,383.44/3,935.93
  6. Step 6: Final answer
    x = 3,231.87

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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.