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Finding the Fourth Proportional to 3,238.64, 4,857.26 and 1,158.79

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Solution

The fourth proportional to 3,238.64, 4,857.26 and 1,158.79 is: 1,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.64 : 4,857.26 = 1,158.79 : x
  2. Step 2: Convert to fraction form
    3,238.64/4,857.26 = 1,158.79/x
  3. Step 3: Cross multiply
    3,238.64x = 4,857.26 × 1,158.79
  4. Step 4: Simplify right side
    3,238.64x = 5,628,542.00
  5. Step 5: Solve for x
    x = 5,628,542.00/3,238.64
  6. Step 6: Final answer
    x = 1,737.93

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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.