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Finding the Fourth Proportional to 3,773.07, 5,649.03 and 2,845.71

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Solution

The fourth proportional to 3,773.07, 5,649.03 and 2,845.71 is: 4,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.07 : 5,649.03 = 2,845.71 : x
  2. Step 2: Convert to fraction form
    3,773.07/5,649.03 = 2,845.71/x
  3. Step 3: Cross multiply
    3,773.07x = 5,649.03 × 2,845.71
  4. Step 4: Simplify right side
    3,773.07x = 16,075,501.16
  5. Step 5: Solve for x
    x = 16,075,501.16/3,773.07
  6. Step 6: Final answer
    x = 4,260.59

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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.