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Finding the Fourth Proportional to 4,212.99, 5,816.61 and 3,764.07

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Solution

The fourth proportional to 4,212.99, 5,816.61 and 3,764.07 is: 5,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.99 : 5,816.61 = 3,764.07 : x
  2. Step 2: Convert to fraction form
    4,212.99/5,816.61 = 3,764.07/x
  3. Step 3: Cross multiply
    4,212.99x = 5,816.61 × 3,764.07
  4. Step 4: Simplify right side
    4,212.99x = 21,894,127.20
  5. Step 5: Solve for x
    x = 21,894,127.20/4,212.99
  6. Step 6: Final answer
    x = 5,196.81

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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.