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Finding the Fourth Proportional to 3,589.58, 5,381.62 and 1,640.42

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Solution

The fourth proportional to 3,589.58, 5,381.62 and 1,640.42 is: 2,459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.58 : 5,381.62 = 1,640.42 : x
  2. Step 2: Convert to fraction form
    3,589.58/5,381.62 = 1,640.42/x
  3. Step 3: Cross multiply
    3,589.58x = 5,381.62 × 1,640.42
  4. Step 4: Simplify right side
    3,589.58x = 8,828,117.08
  5. Step 5: Solve for x
    x = 8,828,117.08/3,589.58
  6. Step 6: Final answer
    x = 2,459.37

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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.