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Finding the Fourth Proportional to 5,192.93, 7,166.24 and 2,835.07

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Solution

The fourth proportional to 5,192.93, 7,166.24 and 2,835.07 is: 3,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.93 : 7,166.24 = 2,835.07 : x
  2. Step 2: Convert to fraction form
    5,192.93/7,166.24 = 2,835.07/x
  3. Step 3: Cross multiply
    5,192.93x = 7,166.24 × 2,835.07
  4. Step 4: Simplify right side
    5,192.93x = 20,316,792.04
  5. Step 5: Solve for x
    x = 20,316,792.04/5,192.93
  6. Step 6: Final answer
    x = 3,912.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.