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Finding the Fourth Proportional to 5,690, 8,535.96 and 2,404.64

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Solution

The fourth proportional to 5,690, 8,535.96 and 2,404.64 is: 3,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690 : 8,535.96 = 2,404.64 : x
  2. Step 2: Convert to fraction form
    5,690/8,535.96 = 2,404.64/x
  3. Step 3: Cross multiply
    5,690x = 8,535.96 × 2,404.64
  4. Step 4: Simplify right side
    5,690x = 20,525,910.85
  5. Step 5: Solve for x
    x = 20,525,910.85/5,690
  6. Step 6: Final answer
    x = 3,607.37

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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.