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Finding the Fourth Proportional to 3,813.57, 5,262.97 and 2,134.91

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Solution

The fourth proportional to 3,813.57, 5,262.97 and 2,134.91 is: 2,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.57 : 5,262.97 = 2,134.91 : x
  2. Step 2: Convert to fraction form
    3,813.57/5,262.97 = 2,134.91/x
  3. Step 3: Cross multiply
    3,813.57x = 5,262.97 × 2,134.91
  4. Step 4: Simplify right side
    3,813.57x = 11,235,967.28
  5. Step 5: Solve for x
    x = 11,235,967.28/3,813.57
  6. Step 6: Final answer
    x = 2,946.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.