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Finding the Fourth Proportional to 4,782, 6,599.22 and 2,893.62

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Solution

The fourth proportional to 4,782, 6,599.22 and 2,893.62 is: 3,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 6,599.22 = 2,893.62 : x
  2. Step 2: Convert to fraction form
    4,782/6,599.22 = 2,893.62/x
  3. Step 3: Cross multiply
    4,782x = 6,599.22 × 2,893.62
  4. Step 4: Simplify right side
    4,782x = 19,095,634.98
  5. Step 5: Solve for x
    x = 19,095,634.98/4,782
  6. Step 6: Final answer
    x = 3,993.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.