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Finding the Fourth Proportional to 4,212.84, 5,814.06 and 2,534.22

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Solution

The fourth proportional to 4,212.84, 5,814.06 and 2,534.22 is: 3,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.84 : 5,814.06 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    4,212.84/5,814.06 = 2,534.22/x
  3. Step 3: Cross multiply
    4,212.84x = 5,814.06 × 2,534.22
  4. Step 4: Simplify right side
    4,212.84x = 14,734,107.13
  5. Step 5: Solve for x
    x = 14,734,107.13/4,212.84
  6. Step 6: Final answer
    x = 3,497.43

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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.