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Finding the Fourth Proportional to 5,690.64, 8,537.68 and 2,404

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Solution

The fourth proportional to 5,690.64, 8,537.68 and 2,404 is: 3,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.64 : 8,537.68 = 2,404 : x
  2. Step 2: Convert to fraction form
    5,690.64/8,537.68 = 2,404/x
  3. Step 3: Cross multiply
    5,690.64x = 8,537.68 × 2,404
  4. Step 4: Simplify right side
    5,690.64x = 20,524,582.72
  5. Step 5: Solve for x
    x = 20,524,582.72/5,690.64
  6. Step 6: Final answer
    x = 3,606.73

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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.