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Finding the Fourth Proportional to 3,235.48, 4,853.26 and 927

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Solution

The fourth proportional to 3,235.48, 4,853.26 and 927 is: 1,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.48 : 4,853.26 = 927 : x
  2. Step 2: Convert to fraction form
    3,235.48/4,853.26 = 927/x
  3. Step 3: Cross multiply
    3,235.48x = 4,853.26 × 927
  4. Step 4: Simplify right side
    3,235.48x = 4,498,972.02
  5. Step 5: Solve for x
    x = 4,498,972.02/3,235.48
  6. Step 6: Final answer
    x = 1,390.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.