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Finding the Fourth Proportional to 3,197.21, 4,796.56 and 1,006.16

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Solution

The fourth proportional to 3,197.21, 4,796.56 and 1,006.16 is: 1,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.21 : 4,796.56 = 1,006.16 : x
  2. Step 2: Convert to fraction form
    3,197.21/4,796.56 = 1,006.16/x
  3. Step 3: Cross multiply
    3,197.21x = 4,796.56 × 1,006.16
  4. Step 4: Simplify right side
    3,197.21x = 4,826,106.81
  5. Step 5: Solve for x
    x = 4,826,106.81/3,197.21
  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.