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Finding the Fourth Proportional to 5,222.76, 7,832.47 and 1,711.82

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Solution

The fourth proportional to 5,222.76, 7,832.47 and 1,711.82 is: 2,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.76 : 7,832.47 = 1,711.82 : x
  2. Step 2: Convert to fraction form
    5,222.76/7,832.47 = 1,711.82/x
  3. Step 3: Cross multiply
    5,222.76x = 7,832.47 × 1,711.82
  4. Step 4: Simplify right side
    5,222.76x = 13,407,778.80
  5. Step 5: Solve for x
    x = 13,407,778.80/5,222.76
  6. Step 6: Final answer
    x = 2,567.18

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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.