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Finding the Fourth Proportional to 4,212.99, 6,315.84 and 2,262.92

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Solution

The fourth proportional to 4,212.99, 6,315.84 and 2,262.92 is: 3,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.99 : 6,315.84 = 2,262.92 : x
  2. Step 2: Convert to fraction form
    4,212.99/6,315.84 = 2,262.92/x
  3. Step 3: Cross multiply
    4,212.99x = 6,315.84 × 2,262.92
  4. Step 4: Simplify right side
    4,212.99x = 14,292,209.07
  5. Step 5: Solve for x
    x = 14,292,209.07/4,212.99
  6. Step 6: Final answer
    x = 3,392.41

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