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Finding the Fourth Proportional to 5,765.14, 8,649.75 and 2,845.49

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Solution

The fourth proportional to 5,765.14, 8,649.75 and 2,845.49 is: 4,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.14 : 8,649.75 = 2,845.49 : x
  2. Step 2: Convert to fraction form
    5,765.14/8,649.75 = 2,845.49/x
  3. Step 3: Cross multiply
    5,765.14x = 8,649.75 × 2,845.49
  4. Step 4: Simplify right side
    5,765.14x = 24,612,798.75
  5. Step 5: Solve for x
    x = 24,612,798.75/5,765.14
  6. Step 6: Final answer
    x = 4,269.25

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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.