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Finding the Fourth Proportional to 5,239.87, 7,840.19 and 3,123.77

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Solution

The fourth proportional to 5,239.87, 7,840.19 and 3,123.77 is: 4,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.87 : 7,840.19 = 3,123.77 : x
  2. Step 2: Convert to fraction form
    5,239.87/7,840.19 = 3,123.77/x
  3. Step 3: Cross multiply
    5,239.87x = 7,840.19 × 3,123.77
  4. Step 4: Simplify right side
    5,239.87x = 24,490,918.92
  5. Step 5: Solve for x
    x = 24,490,918.92/5,239.87
  6. Step 6: Final answer
    x = 4,673.96

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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.