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Finding the Fourth Proportional to 4,185.66, 6,279.61 and 3,726.57

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Solution

The fourth proportional to 4,185.66, 6,279.61 and 3,726.57 is: 5,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.66 : 6,279.61 = 3,726.57 : x
  2. Step 2: Convert to fraction form
    4,185.66/6,279.61 = 3,726.57/x
  3. Step 3: Cross multiply
    4,185.66x = 6,279.61 × 3,726.57
  4. Step 4: Simplify right side
    4,185.66x = 23,401,406.24
  5. Step 5: Solve for x
    x = 23,401,406.24/4,185.66
  6. Step 6: Final answer
    x = 5,590.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.