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Finding the Fourth Proportional to 3,743.66, 5,620.44 and 3,003.68

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Solution

The fourth proportional to 3,743.66, 5,620.44 and 3,003.68 is: 4,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.66 : 5,620.44 = 3,003.68 : x
  2. Step 2: Convert to fraction form
    3,743.66/5,620.44 = 3,003.68/x
  3. Step 3: Cross multiply
    3,743.66x = 5,620.44 × 3,003.68
  4. Step 4: Simplify right side
    3,743.66x = 16,882,028.53
  5. Step 5: Solve for x
    x = 16,882,028.53/3,743.66
  6. Step 6: Final answer
    x = 4,509.50

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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.