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Finding the Fourth Proportional to 4,175.64, 5,756.22 and 3,289.68

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Solution

The fourth proportional to 4,175.64, 5,756.22 and 3,289.68 is: 4,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.64 : 5,756.22 = 3,289.68 : x
  2. Step 2: Convert to fraction form
    4,175.64/5,756.22 = 3,289.68/x
  3. Step 3: Cross multiply
    4,175.64x = 5,756.22 × 3,289.68
  4. Step 4: Simplify right side
    4,175.64x = 18,936,121.81
  5. Step 5: Solve for x
    x = 18,936,121.81/4,175.64
  6. Step 6: Final answer
    x = 4,534.90

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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.