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Finding the Fourth Proportional to 3,679.92, 5,519.88 and 2,589.16

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Solution

The fourth proportional to 3,679.92, 5,519.88 and 2,589.16 is: 3,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.92 : 5,519.88 = 2,589.16 : x
  2. Step 2: Convert to fraction form
    3,679.92/5,519.88 = 2,589.16/x
  3. Step 3: Cross multiply
    3,679.92x = 5,519.88 × 2,589.16
  4. Step 4: Simplify right side
    3,679.92x = 14,291,852.50
  5. Step 5: Solve for x
    x = 14,291,852.50/3,679.92
  6. Step 6: Final answer
    x = 3,883.74

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Why These Related Problems?

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