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Finding the Fourth Proportional to 5,215.64, 7,816.90 and 3,727.12

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Solution

The fourth proportional to 5,215.64, 7,816.90 and 3,727.12 is: 5,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.64 : 7,816.90 = 3,727.12 : x
  2. Step 2: Convert to fraction form
    5,215.64/7,816.90 = 3,727.12/x
  3. Step 3: Cross multiply
    5,215.64x = 7,816.90 × 3,727.12
  4. Step 4: Simplify right side
    5,215.64x = 29,134,524.33
  5. Step 5: Solve for x
    x = 29,134,524.33/5,215.64
  6. Step 6: Final answer
    x = 5,585.99

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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.