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Finding the Fourth Proportional to 4,589.47, 6,884.06 and 1,469.66

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Solution

The fourth proportional to 4,589.47, 6,884.06 and 1,469.66 is: 2,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.47 : 6,884.06 = 1,469.66 : x
  2. Step 2: Convert to fraction form
    4,589.47/6,884.06 = 1,469.66/x
  3. Step 3: Cross multiply
    4,589.47x = 6,884.06 × 1,469.66
  4. Step 4: Simplify right side
    4,589.47x = 10,117,220.27
  5. Step 5: Solve for x
    x = 10,117,220.27/4,589.47
  6. Step 6: Final answer
    x = 2,204.44

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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.