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Finding the Fourth Proportional to 5,329.87, 7,977.34 and 3,923.88

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Solution

The fourth proportional to 5,329.87, 7,977.34 and 3,923.88 is: 5,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.87 : 7,977.34 = 3,923.88 : x
  2. Step 2: Convert to fraction form
    5,329.87/7,977.34 = 3,923.88/x
  3. Step 3: Cross multiply
    5,329.87x = 7,977.34 × 3,923.88
  4. Step 4: Simplify right side
    5,329.87x = 31,302,124.88
  5. Step 5: Solve for x
    x = 31,302,124.88/5,329.87
  6. Step 6: Final answer
    x = 5,872.96

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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.