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Finding the Fourth Proportional to 3,207.84, 4,425.50 and 2,322.12

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Solution

The fourth proportional to 3,207.84, 4,425.50 and 2,322.12 is: 3,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.84 : 4,425.50 = 2,322.12 : x
  2. Step 2: Convert to fraction form
    3,207.84/4,425.50 = 2,322.12/x
  3. Step 3: Cross multiply
    3,207.84x = 4,425.50 × 2,322.12
  4. Step 4: Simplify right side
    3,207.84x = 10,276,542.06
  5. Step 5: Solve for x
    x = 10,276,542.06/3,207.84
  6. Step 6: Final answer
    x = 3,203.57

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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.