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Finding the Fourth Proportional to 5,124.87, 7,687.44 and 1,427.09

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Solution

The fourth proportional to 5,124.87, 7,687.44 and 1,427.09 is: 2,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.87 : 7,687.44 = 1,427.09 : x
  2. Step 2: Convert to fraction form
    5,124.87/7,687.44 = 1,427.09/x
  3. Step 3: Cross multiply
    5,124.87x = 7,687.44 × 1,427.09
  4. Step 4: Simplify right side
    5,124.87x = 10,970,630.31
  5. Step 5: Solve for x
    x = 10,970,630.31/5,124.87
  6. Step 6: Final answer
    x = 2,140.67

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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.