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Finding the Fourth Proportional to 3,467.42, 4,781.92 and 2,289.68

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Solution

The fourth proportional to 3,467.42, 4,781.92 and 2,289.68 is: 3,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.42 : 4,781.92 = 2,289.68 : x
  2. Step 2: Convert to fraction form
    3,467.42/4,781.92 = 2,289.68/x
  3. Step 3: Cross multiply
    3,467.42x = 4,781.92 × 2,289.68
  4. Step 4: Simplify right side
    3,467.42x = 10,949,066.59
  5. Step 5: Solve for x
    x = 10,949,066.59/3,467.42
  6. Step 6: Final answer
    x = 3,157.70

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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.