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Finding the Fourth Proportional to 3,197.46, 4,796.25 and 1,006.26

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Solution

The fourth proportional to 3,197.46, 4,796.25 and 1,006.26 is: 1,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.46 : 4,796.25 = 1,006.26 : x
  2. Step 2: Convert to fraction form
    3,197.46/4,796.25 = 1,006.26/x
  3. Step 3: Cross multiply
    3,197.46x = 4,796.25 × 1,006.26
  4. Step 4: Simplify right side
    3,197.46x = 4,826,274.53
  5. Step 5: Solve for x
    x = 4,826,274.53/3,197.46
  6. Step 6: Final answer
    x = 1,509.41

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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.