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Finding the Fourth Proportional to 3,238.85, 4,857.27 and 1,047.13

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Solution

The fourth proportional to 3,238.85, 4,857.27 and 1,047.13 is: 1,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.85 : 4,857.27 = 1,047.13 : x
  2. Step 2: Convert to fraction form
    3,238.85/4,857.27 = 1,047.13/x
  3. Step 3: Cross multiply
    3,238.85x = 4,857.27 × 1,047.13
  4. Step 4: Simplify right side
    3,238.85x = 5,086,177.07
  5. Step 5: Solve for x
    x = 5,086,177.07/3,238.85
  6. Step 6: Final answer
    x = 1,570.36

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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.