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Finding the Fourth Proportional to 5,557.41, 7,667.87 and 3,790.80

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Solution

The fourth proportional to 5,557.41, 7,667.87 and 3,790.80 is: 5,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.41 : 7,667.87 = 3,790.80 : x
  2. Step 2: Convert to fraction form
    5,557.41/7,667.87 = 3,790.80/x
  3. Step 3: Cross multiply
    5,557.41x = 7,667.87 × 3,790.80
  4. Step 4: Simplify right side
    5,557.41x = 29,067,342.64
  5. Step 5: Solve for x
    x = 29,067,342.64/5,557.41
  6. Step 6: Final answer
    x = 5,230.38

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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.