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Finding the Fourth Proportional to 4,589.64, 6,881.07 and 1,467.84

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Solution

The fourth proportional to 4,589.64, 6,881.07 and 1,467.84 is: 2,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.64 : 6,881.07 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    4,589.64/6,881.07 = 1,467.84/x
  3. Step 3: Cross multiply
    4,589.64x = 6,881.07 × 1,467.84
  4. Step 4: Simplify right side
    4,589.64x = 10,100,309.79
  5. Step 5: Solve for x
    x = 10,100,309.79/4,589.64
  6. Step 6: Final answer
    x = 2,200.68

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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.