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Finding the Fourth Proportional to 5,231.54, 7,846.11 and 3,123.76

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Solution

The fourth proportional to 5,231.54, 7,846.11 and 3,123.76 is: 4,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.54 : 7,846.11 = 3,123.76 : x
  2. Step 2: Convert to fraction form
    5,231.54/7,846.11 = 3,123.76/x
  3. Step 3: Cross multiply
    5,231.54x = 7,846.11 × 3,123.76
  4. Step 4: Simplify right side
    5,231.54x = 24,509,364.57
  5. Step 5: Solve for x
    x = 24,509,364.57/5,231.54
  6. Step 6: Final answer
    x = 4,684.92

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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.