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Finding the Fourth Proportional to 4,197.42, 6,293.16 and 1,423.44

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Solution

The fourth proportional to 4,197.42, 6,293.16 and 1,423.44 is: 2,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.42 : 6,293.16 = 1,423.44 : x
  2. Step 2: Convert to fraction form
    4,197.42/6,293.16 = 1,423.44/x
  3. Step 3: Cross multiply
    4,197.42x = 6,293.16 × 1,423.44
  4. Step 4: Simplify right side
    4,197.42x = 8,957,935.67
  5. Step 5: Solve for x
    x = 8,957,935.67/4,197.42
  6. Step 6: Final answer
    x = 2,134.15

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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.