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Finding the Fourth Proportional to 5,994.34, 8,272.32 and 3,342

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Solution

The fourth proportional to 5,994.34, 8,272.32 and 3,342 is: 4,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.34 : 8,272.32 = 3,342 : x
  2. Step 2: Convert to fraction form
    5,994.34/8,272.32 = 3,342/x
  3. Step 3: Cross multiply
    5,994.34x = 8,272.32 × 3,342
  4. Step 4: Simplify right side
    5,994.34x = 27,646,093.44
  5. Step 5: Solve for x
    x = 27,646,093.44/5,994.34
  6. Step 6: Final answer
    x = 4,612.03

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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.