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Finding the Fourth Proportional to 5,689.75, 7,849.68 and 4,201.24

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Solution

The fourth proportional to 5,689.75, 7,849.68 and 4,201.24 is: 5,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.75 : 7,849.68 = 4,201.24 : x
  2. Step 2: Convert to fraction form
    5,689.75/7,849.68 = 4,201.24/x
  3. Step 3: Cross multiply
    5,689.75x = 7,849.68 × 4,201.24
  4. Step 4: Simplify right side
    5,689.75x = 32,978,350.35
  5. Step 5: Solve for x
    x = 32,978,350.35/5,689.75
  6. Step 6: Final answer
    x = 5,796.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.