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Finding the Fourth Proportional to 4,491.86, 6,197.67 and 2,577.86

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Solution

The fourth proportional to 4,491.86, 6,197.67 and 2,577.86 is: 3,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.86 : 6,197.67 = 2,577.86 : x
  2. Step 2: Convert to fraction form
    4,491.86/6,197.67 = 2,577.86/x
  3. Step 3: Cross multiply
    4,491.86x = 6,197.67 × 2,577.86
  4. Step 4: Simplify right side
    4,491.86x = 15,976,725.59
  5. Step 5: Solve for x
    x = 15,976,725.59/4,491.86
  6. Step 6: Final answer
    x = 3,556.82

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