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Finding the Fourth Proportional to 4,766, 6,575.64 and 2,999.36

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Solution

The fourth proportional to 4,766, 6,575.64 and 2,999.36 is: 4,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766 : 6,575.64 = 2,999.36 : x
  2. Step 2: Convert to fraction form
    4,766/6,575.64 = 2,999.36/x
  3. Step 3: Cross multiply
    4,766x = 6,575.64 × 2,999.36
  4. Step 4: Simplify right side
    4,766x = 19,722,711.59
  5. Step 5: Solve for x
    x = 19,722,711.59/4,766
  6. Step 6: Final answer
    x = 4,138.21

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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.