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Finding the Fourth Proportional to 5,727.31, 7,903.47 and 3,369.40

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Solution

The fourth proportional to 5,727.31, 7,903.47 and 3,369.40 is: 4,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.31 : 7,903.47 = 3,369.40 : x
  2. Step 2: Convert to fraction form
    5,727.31/7,903.47 = 3,369.40/x
  3. Step 3: Cross multiply
    5,727.31x = 7,903.47 × 3,369.40
  4. Step 4: Simplify right side
    5,727.31x = 26,629,951.82
  5. Step 5: Solve for x
    x = 26,629,951.82/5,727.31
  6. Step 6: Final answer
    x = 4,649.64

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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.