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Finding the Fourth Proportional to 3,197.06, 4,796.36 and 1,005.79

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Solution

The fourth proportional to 3,197.06, 4,796.36 and 1,005.79 is: 1,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.06 : 4,796.36 = 1,005.79 : x
  2. Step 2: Convert to fraction form
    3,197.06/4,796.36 = 1,005.79/x
  3. Step 3: Cross multiply
    3,197.06x = 4,796.36 × 1,005.79
  4. Step 4: Simplify right side
    3,197.06x = 4,824,130.92
  5. Step 5: Solve for x
    x = 4,824,130.92/3,197.06
  6. Step 6: Final answer
    x = 1,508.93

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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.