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Finding the Fourth Proportional to 4,212.99, 5,814.81 and 2,796.75

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Solution

The fourth proportional to 4,212.99, 5,814.81 and 2,796.75 is: 3,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.99 : 5,814.81 = 2,796.75 : x
  2. Step 2: Convert to fraction form
    4,212.99/5,814.81 = 2,796.75/x
  3. Step 3: Cross multiply
    4,212.99x = 5,814.81 × 2,796.75
  4. Step 4: Simplify right side
    4,212.99x = 16,262,569.87
  5. Step 5: Solve for x
    x = 16,262,569.87/4,212.99
  6. Step 6: Final answer
    x = 3,860.10

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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.