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Finding the Fourth Proportional to 5,200.92, 7,802.79 and 2,735.13

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Solution

The fourth proportional to 5,200.92, 7,802.79 and 2,735.13 is: 4,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.92 : 7,802.79 = 2,735.13 : x
  2. Step 2: Convert to fraction form
    5,200.92/7,802.79 = 2,735.13/x
  3. Step 3: Cross multiply
    5,200.92x = 7,802.79 × 2,735.13
  4. Step 4: Simplify right side
    5,200.92x = 21,341,645.01
  5. Step 5: Solve for x
    x = 21,341,645.01/5,200.92
  6. Step 6: Final answer
    x = 4,103.44

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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.