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Finding the Fourth Proportional to 5,121.72, 7,677.72 and 1,833.12

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Solution

The fourth proportional to 5,121.72, 7,677.72 and 1,833.12 is: 2,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.72 : 7,677.72 = 1,833.12 : x
  2. Step 2: Convert to fraction form
    5,121.72/7,677.72 = 1,833.12/x
  3. Step 3: Cross multiply
    5,121.72x = 7,677.72 × 1,833.12
  4. Step 4: Simplify right side
    5,121.72x = 14,074,182.09
  5. Step 5: Solve for x
    x = 14,074,182.09/5,121.72
  6. Step 6: Final answer
    x = 2,747.94

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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.