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Finding the Fourth Proportional to 6,197.61, 8,552.30 and 3,679.59

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Solution

The fourth proportional to 6,197.61, 8,552.30 and 3,679.59 is: 5,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.61 : 8,552.30 = 3,679.59 : x
  2. Step 2: Convert to fraction form
    6,197.61/8,552.30 = 3,679.59/x
  3. Step 3: Cross multiply
    6,197.61x = 8,552.30 × 3,679.59
  4. Step 4: Simplify right side
    6,197.61x = 31,468,939.16
  5. Step 5: Solve for x
    x = 31,468,939.16/6,197.61
  6. Step 6: Final answer
    x = 5,077.59

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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.