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Finding the Fourth Proportional to 5,765.75, 8,648.63 and 2,068.21

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Solution

The fourth proportional to 5,765.75, 8,648.63 and 2,068.21 is: 3,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.75 : 8,648.63 = 2,068.21 : x
  2. Step 2: Convert to fraction form
    5,765.75/8,648.63 = 2,068.21/x
  3. Step 3: Cross multiply
    5,765.75x = 8,648.63 × 2,068.21
  4. Step 4: Simplify right side
    5,765.75x = 17,887,183.05
  5. Step 5: Solve for x
    x = 17,887,183.05/5,765.75
  6. Step 6: Final answer
    x = 3,102.32

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1.5x scale

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.