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Finding the Fourth Proportional to 4,792.92, 7,192.25 and 2,019.42

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Solution

The fourth proportional to 4,792.92, 7,192.25 and 2,019.42 is: 3,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.92 : 7,192.25 = 2,019.42 : x
  2. Step 2: Convert to fraction form
    4,792.92/7,192.25 = 2,019.42/x
  3. Step 3: Cross multiply
    4,792.92x = 7,192.25 × 2,019.42
  4. Step 4: Simplify right side
    4,792.92x = 14,524,173.50
  5. Step 5: Solve for x
    x = 14,524,173.50/4,792.92
  6. Step 6: Final answer
    x = 3,030.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.