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Finding the Fourth Proportional to 3,197.27, 4,796.59 and 1,006.17

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Solution

The fourth proportional to 3,197.27, 4,796.59 and 1,006.17 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.27 : 4,796.59 = 1,006.17 : x
  2. Step 2: Convert to fraction form
    3,197.27/4,796.59 = 1,006.17/x
  3. Step 3: Cross multiply
    3,197.27x = 4,796.59 × 1,006.17
  4. Step 4: Simplify right side
    3,197.27x = 4,826,184.96
  5. Step 5: Solve for x
    x = 4,826,184.96/3,197.27
  6. Step 6: Final answer
    x = 1,509.47

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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.