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Finding the Fourth Proportional to 4,197.90, 6,292.17 and 1,729.74

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Solution

The fourth proportional to 4,197.90, 6,292.17 and 1,729.74 is: 2,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.90 : 6,292.17 = 1,729.74 : x
  2. Step 2: Convert to fraction form
    4,197.90/6,292.17 = 1,729.74/x
  3. Step 3: Cross multiply
    4,197.90x = 6,292.17 × 1,729.74
  4. Step 4: Simplify right side
    4,197.90x = 10,883,818.14
  5. Step 5: Solve for x
    x = 10,883,818.14/4,197.90
  6. Step 6: Final answer
    x = 2,592.68

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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.