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Finding the Fourth Proportional to 3,924.72, 5,888.00 and 1,151.61

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Solution

The fourth proportional to 3,924.72, 5,888.00 and 1,151.61 is: 1,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.72 : 5,888.00 = 1,151.61 : x
  2. Step 2: Convert to fraction form
    3,924.72/5,888.00 = 1,151.61/x
  3. Step 3: Cross multiply
    3,924.72x = 5,888.00 × 1,151.61
  4. Step 4: Simplify right side
    3,924.72x = 6,780,673.92
  5. Step 5: Solve for x
    x = 6,780,673.92/3,924.72
  6. Step 6: Final answer
    x = 1,727.68

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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.