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Finding the Fourth Proportional to 5,542.61, 7,646.38 and 3,651.77

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Solution

The fourth proportional to 5,542.61, 7,646.38 and 3,651.77 is: 5,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.61 : 7,646.38 = 3,651.77 : x
  2. Step 2: Convert to fraction form
    5,542.61/7,646.38 = 3,651.77/x
  3. Step 3: Cross multiply
    5,542.61x = 7,646.38 × 3,651.77
  4. Step 4: Simplify right side
    5,542.61x = 27,922,773.73
  5. Step 5: Solve for x
    x = 27,922,773.73/5,542.61
  6. Step 6: Final answer
    x = 5,037.84

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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.