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Finding the Fourth Proportional to 3,869.64, 5,805 and 1,272.24

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Solution

The fourth proportional to 3,869.64, 5,805 and 1,272.24 is: 1,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.64 : 5,805 = 1,272.24 : x
  2. Step 2: Convert to fraction form
    3,869.64/5,805 = 1,272.24/x
  3. Step 3: Cross multiply
    3,869.64x = 5,805 × 1,272.24
  4. Step 4: Simplify right side
    3,869.64x = 7,385,353.20
  5. Step 5: Solve for x
    x = 7,385,353.20/3,869.64
  6. Step 6: Final answer
    x = 1,908.54

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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.