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Finding the Fourth Proportional to 3,649.74, 5,002.86 and 3,600.51

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Solution

The fourth proportional to 3,649.74, 5,002.86 and 3,600.51 is: 4,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.74 : 5,002.86 = 3,600.51 : x
  2. Step 2: Convert to fraction form
    3,649.74/5,002.86 = 3,600.51/x
  3. Step 3: Cross multiply
    3,649.74x = 5,002.86 × 3,600.51
  4. Step 4: Simplify right side
    3,649.74x = 18,012,847.46
  5. Step 5: Solve for x
    x = 18,012,847.46/3,649.74
  6. Step 6: Final answer
    x = 4,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.