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Finding the Fourth Proportional to 4,584.57, 6,876.84 and 1,662.87

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Solution

The fourth proportional to 4,584.57, 6,876.84 and 1,662.87 is: 2,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.57 : 6,876.84 = 1,662.87 : x
  2. Step 2: Convert to fraction form
    4,584.57/6,876.84 = 1,662.87/x
  3. Step 3: Cross multiply
    4,584.57x = 6,876.84 × 1,662.87
  4. Step 4: Simplify right side
    4,584.57x = 11,435,290.93
  5. Step 5: Solve for x
    x = 11,435,290.93/4,584.57
  6. Step 6: Final answer
    x = 2,494.30

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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.