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Finding the Fourth Proportional to 4,212.99, 5,812.13 and 3,092.00

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Solution

The fourth proportional to 4,212.99, 5,812.13 and 3,092.00 is: 4,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.99 : 5,812.13 = 3,092.00 : x
  2. Step 2: Convert to fraction form
    4,212.99/5,812.13 = 3,092.00/x
  3. Step 3: Cross multiply
    4,212.99x = 5,812.13 × 3,092.00
  4. Step 4: Simplify right side
    4,212.99x = 17,971,061.44
  5. Step 5: Solve for x
    x = 17,971,061.44/4,212.99
  6. Step 6: Final answer
    x = 4,265.63

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