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Finding the Fourth Proportional to 3,935.80, 5,430.90 and 2,257.48

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Solution

The fourth proportional to 3,935.80, 5,430.90 and 2,257.48 is: 3,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.80 : 5,430.90 = 2,257.48 : x
  2. Step 2: Convert to fraction form
    3,935.80/5,430.90 = 2,257.48/x
  3. Step 3: Cross multiply
    3,935.80x = 5,430.90 × 2,257.48
  4. Step 4: Simplify right side
    3,935.80x = 12,260,148.13
  5. Step 5: Solve for x
    x = 12,260,148.13/3,935.80
  6. Step 6: Final answer
    x = 3,115.03

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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.