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Finding the Fourth Proportional to 3,901.66, 5,853.72 and 1,679.42

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Solution

The fourth proportional to 3,901.66, 5,853.72 and 1,679.42 is: 2,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.66 : 5,853.72 = 1,679.42 : x
  2. Step 2: Convert to fraction form
    3,901.66/5,853.72 = 1,679.42/x
  3. Step 3: Cross multiply
    3,901.66x = 5,853.72 × 1,679.42
  4. Step 4: Simplify right side
    3,901.66x = 9,830,854.44
  5. Step 5: Solve for x
    x = 9,830,854.44/3,901.66
  6. Step 6: Final answer
    x = 2,519.66

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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.