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Finding the Fourth Proportional to 3,765.44, 5,649.02 and 2,009.52

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Solution

The fourth proportional to 3,765.44, 5,649.02 and 2,009.52 is: 3,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.44 : 5,649.02 = 2,009.52 : x
  2. Step 2: Convert to fraction form
    3,765.44/5,649.02 = 2,009.52/x
  3. Step 3: Cross multiply
    3,765.44x = 5,649.02 × 2,009.52
  4. Step 4: Simplify right side
    3,765.44x = 11,351,818.67
  5. Step 5: Solve for x
    x = 11,351,818.67/3,765.44
  6. Step 6: Final answer
    x = 3,014.74

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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.