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Finding the Fourth Proportional to 5,808.62, 8,708.46 and 2,884.66

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Solution

The fourth proportional to 5,808.62, 8,708.46 and 2,884.66 is: 4,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.62 : 8,708.46 = 2,884.66 : x
  2. Step 2: Convert to fraction form
    5,808.62/8,708.46 = 2,884.66/x
  3. Step 3: Cross multiply
    5,808.62x = 8,708.46 × 2,884.66
  4. Step 4: Simplify right side
    5,808.62x = 25,120,946.22
  5. Step 5: Solve for x
    x = 25,120,946.22/5,808.62
  6. Step 6: Final answer
    x = 4,324.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.