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Finding the Fourth Proportional to 3,749.64, 5,629.44 and 3,009.66

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Solution

The fourth proportional to 3,749.64, 5,629.44 and 3,009.66 is: 4,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.64 : 5,629.44 = 3,009.66 : x
  2. Step 2: Convert to fraction form
    3,749.64/5,629.44 = 3,009.66/x
  3. Step 3: Cross multiply
    3,749.64x = 5,629.44 × 3,009.66
  4. Step 4: Simplify right side
    3,749.64x = 16,942,700.39
  5. Step 5: Solve for x
    x = 16,942,700.39/3,749.64
  6. Step 6: Final answer
    x = 4,518.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.