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Finding the Fourth Proportional to 5,943.83, 8,202.62 and 3,255.30

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Solution

The fourth proportional to 5,943.83, 8,202.62 and 3,255.30 is: 4,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.83 : 8,202.62 = 3,255.30 : x
  2. Step 2: Convert to fraction form
    5,943.83/8,202.62 = 3,255.30/x
  3. Step 3: Cross multiply
    5,943.83x = 8,202.62 × 3,255.30
  4. Step 4: Simplify right side
    5,943.83x = 26,701,972.61
  5. Step 5: Solve for x
    x = 26,701,972.61/5,943.83
  6. Step 6: Final answer
    x = 4,492.39

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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.