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Finding the Fourth Proportional to 4,727.54, 6,524.61 and 2,864.54

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Solution

The fourth proportional to 4,727.54, 6,524.61 and 2,864.54 is: 3,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.54 : 6,524.61 = 2,864.54 : x
  2. Step 2: Convert to fraction form
    4,727.54/6,524.61 = 2,864.54/x
  3. Step 3: Cross multiply
    4,727.54x = 6,524.61 × 2,864.54
  4. Step 4: Simplify right side
    4,727.54x = 18,690,006.33
  5. Step 5: Solve for x
    x = 18,690,006.33/4,727.54
  6. Step 6: Final answer
    x = 3,953.43

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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.