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Finding the Fourth Proportional to 4,270.68, 6,400.54 and 3,294.73

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Solution

The fourth proportional to 4,270.68, 6,400.54 and 3,294.73 is: 4,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.68 : 6,400.54 = 3,294.73 : x
  2. Step 2: Convert to fraction form
    4,270.68/6,400.54 = 3,294.73/x
  3. Step 3: Cross multiply
    4,270.68x = 6,400.54 × 3,294.73
  4. Step 4: Simplify right side
    4,270.68x = 21,088,051.15
  5. Step 5: Solve for x
    x = 21,088,051.15/4,270.68
  6. Step 6: Final answer
    x = 4,937.87

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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.