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Finding the Fourth Proportional to 4,197.47, 6,294.56 and 1,423.62

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Solution

The fourth proportional to 4,197.47, 6,294.56 and 1,423.62 is: 2,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.47 : 6,294.56 = 1,423.62 : x
  2. Step 2: Convert to fraction form
    4,197.47/6,294.56 = 1,423.62/x
  3. Step 3: Cross multiply
    4,197.47x = 6,294.56 × 1,423.62
  4. Step 4: Simplify right side
    4,197.47x = 8,961,054.39
  5. Step 5: Solve for x
    x = 8,961,054.39/4,197.47
  6. Step 6: Final answer
    x = 2,134.87

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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.