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Finding the Fourth Proportional to 4,344.30, 6,504.30 and 4,222.80

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Solution

The fourth proportional to 4,344.30, 6,504.30 and 4,222.80 is: 6,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.30 : 6,504.30 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    4,344.30/6,504.30 = 4,222.80/x
  3. Step 3: Cross multiply
    4,344.30x = 6,504.30 × 4,222.80
  4. Step 4: Simplify right side
    4,344.30x = 27,466,358.04
  5. Step 5: Solve for x
    x = 27,466,358.04/4,344.30
  6. Step 6: Final answer
    x = 6,322.39

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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.