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Finding the Fourth Proportional to 5,662, 8,493.96 and 1,765.63

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Solution

The fourth proportional to 5,662, 8,493.96 and 1,765.63 is: 2,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662 : 8,493.96 = 1,765.63 : x
  2. Step 2: Convert to fraction form
    5,662/8,493.96 = 1,765.63/x
  3. Step 3: Cross multiply
    5,662x = 8,493.96 × 1,765.63
  4. Step 4: Simplify right side
    5,662x = 14,997,190.59
  5. Step 5: Solve for x
    x = 14,997,190.59/5,662
  6. Step 6: Final answer
    x = 2,648.74

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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.