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Finding the Fourth Proportional to 3,935, 5,430.26 and 2,342.74

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Solution

The fourth proportional to 3,935, 5,430.26 and 2,342.74 is: 3,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935 : 5,430.26 = 2,342.74 : x
  2. Step 2: Convert to fraction form
    3,935/5,430.26 = 2,342.74/x
  3. Step 3: Cross multiply
    3,935x = 5,430.26 × 2,342.74
  4. Step 4: Simplify right side
    3,935x = 12,721,687.31
  5. Step 5: Solve for x
    x = 12,721,687.31/3,935
  6. Step 6: Final answer
    x = 3,232.96

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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.