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Finding the Fourth Proportional to 5,691.69, 8,537.52 and 2,572.77

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Solution

The fourth proportional to 5,691.69, 8,537.52 and 2,572.77 is: 3,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.69 : 8,537.52 = 2,572.77 : x
  2. Step 2: Convert to fraction form
    5,691.69/8,537.52 = 2,572.77/x
  3. Step 3: Cross multiply
    5,691.69x = 8,537.52 × 2,572.77
  4. Step 4: Simplify right side
    5,691.69x = 21,965,075.33
  5. Step 5: Solve for x
    x = 21,965,075.33/5,691.69
  6. Step 6: Final answer
    x = 3,859.15

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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.