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Finding the Fourth Proportional to 4,197.96, 6,292.33 and 1,731.44

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Solution

The fourth proportional to 4,197.96, 6,292.33 and 1,731.44 is: 2,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.96 : 6,292.33 = 1,731.44 : x
  2. Step 2: Convert to fraction form
    4,197.96/6,292.33 = 1,731.44/x
  3. Step 3: Cross multiply
    4,197.96x = 6,292.33 × 1,731.44
  4. Step 4: Simplify right side
    4,197.96x = 10,894,756.06
  5. Step 5: Solve for x
    x = 10,894,756.06/4,197.96
  6. Step 6: Final answer
    x = 2,595.25

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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.