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Finding the Fourth Proportional to 5,507.81, 7,600.64 and 3,149.80

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Solution

The fourth proportional to 5,507.81, 7,600.64 and 3,149.80 is: 4,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.81 : 7,600.64 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    5,507.81/7,600.64 = 3,149.80/x
  3. Step 3: Cross multiply
    5,507.81x = 7,600.64 × 3,149.80
  4. Step 4: Simplify right side
    5,507.81x = 23,940,457.87
  5. Step 5: Solve for x
    x = 23,940,457.87/5,507.81
  6. Step 6: Final answer
    x = 4,346.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.