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Finding the Fourth Proportional to 4,573.14, 6,311.24 and 2,781.32

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Solution

The fourth proportional to 4,573.14, 6,311.24 and 2,781.32 is: 3,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.14 : 6,311.24 = 2,781.32 : x
  2. Step 2: Convert to fraction form
    4,573.14/6,311.24 = 2,781.32/x
  3. Step 3: Cross multiply
    4,573.14x = 6,311.24 × 2,781.32
  4. Step 4: Simplify right side
    4,573.14x = 17,553,546.48
  5. Step 5: Solve for x
    x = 17,553,546.48/4,573.14
  6. Step 6: Final answer
    x = 3,838.41

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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.