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Finding the Fourth Proportional to 5,813.91, 8,721.27 and 1,654.25

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Solution

The fourth proportional to 5,813.91, 8,721.27 and 1,654.25 is: 2,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.91 : 8,721.27 = 1,654.25 : x
  2. Step 2: Convert to fraction form
    5,813.91/8,721.27 = 1,654.25/x
  3. Step 3: Cross multiply
    5,813.91x = 8,721.27 × 1,654.25
  4. Step 4: Simplify right side
    5,813.91x = 14,427,141.82
  5. Step 5: Solve for x
    x = 14,427,141.82/5,813.91
  6. Step 6: Final answer
    x = 2,481.49

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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.