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Finding the Fourth Proportional to 5,754.78, 7,929.63 and 4,493.88

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Solution

The fourth proportional to 5,754.78, 7,929.63 and 4,493.88 is: 6,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.78 : 7,929.63 = 4,493.88 : x
  2. Step 2: Convert to fraction form
    5,754.78/7,929.63 = 4,493.88/x
  3. Step 3: Cross multiply
    5,754.78x = 7,929.63 × 4,493.88
  4. Step 4: Simplify right side
    5,754.78x = 35,634,805.66
  5. Step 5: Solve for x
    x = 35,634,805.66/5,754.78
  6. Step 6: Final answer
    x = 6,192.21

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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.