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Finding the Fourth Proportional to 5,859, 8,083.52 and 4,091.58

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Solution

The fourth proportional to 5,859, 8,083.52 and 4,091.58 is: 5,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,083.52 = 4,091.58 : x
  2. Step 2: Convert to fraction form
    5,859/8,083.52 = 4,091.58/x
  3. Step 3: Cross multiply
    5,859x = 8,083.52 × 4,091.58
  4. Step 4: Simplify right side
    5,859x = 33,074,348.30
  5. Step 5: Solve for x
    x = 33,074,348.30/5,859
  6. Step 6: Final answer
    x = 5,645.05

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1.5x scale

Why These Related Problems?

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