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Finding the Fourth Proportional to 4,197.29, 6,293.49 and 1,423.22

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Solution

The fourth proportional to 4,197.29, 6,293.49 and 1,423.22 is: 2,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.29 : 6,293.49 = 1,423.22 : x
  2. Step 2: Convert to fraction form
    4,197.29/6,293.49 = 1,423.22/x
  3. Step 3: Cross multiply
    4,197.29x = 6,293.49 × 1,423.22
  4. Step 4: Simplify right side
    4,197.29x = 8,957,020.84
  5. Step 5: Solve for x
    x = 8,957,020.84/4,197.29
  6. Step 6: Final answer
    x = 2,134.00

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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.