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Finding the Fourth Proportional to 3,864.68, 5,797.34 and 1,267.62

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Solution

The fourth proportional to 3,864.68, 5,797.34 and 1,267.62 is: 1,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.68 : 5,797.34 = 1,267.62 : x
  2. Step 2: Convert to fraction form
    3,864.68/5,797.34 = 1,267.62/x
  3. Step 3: Cross multiply
    3,864.68x = 5,797.34 × 1,267.62
  4. Step 4: Simplify right side
    3,864.68x = 7,348,824.13
  5. Step 5: Solve for x
    x = 7,348,824.13/3,864.68
  6. Step 6: Final answer
    x = 1,901.53

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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.