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Finding the Fourth Proportional to 5,124.92, 7,679.94 and 2,782.94

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Solution

The fourth proportional to 5,124.92, 7,679.94 and 2,782.94 is: 4,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.92 : 7,679.94 = 2,782.94 : x
  2. Step 2: Convert to fraction form
    5,124.92/7,679.94 = 2,782.94/x
  3. Step 3: Cross multiply
    5,124.92x = 7,679.94 × 2,782.94
  4. Step 4: Simplify right side
    5,124.92x = 21,372,812.22
  5. Step 5: Solve for x
    x = 21,372,812.22/5,124.92
  6. Step 6: Final answer
    x = 4,170.37

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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.