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Finding the Fourth Proportional to 5,956, 8,212.88 and 4,092.32

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Solution

The fourth proportional to 5,956, 8,212.88 and 4,092.32 is: 5,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956 : 8,212.88 = 4,092.32 : x
  2. Step 2: Convert to fraction form
    5,956/8,212.88 = 4,092.32/x
  3. Step 3: Cross multiply
    5,956x = 8,212.88 × 4,092.32
  4. Step 4: Simplify right side
    5,956x = 33,609,733.08
  5. Step 5: Solve for x
    x = 33,609,733.08/5,956
  6. Step 6: Final answer
    x = 5,643.00

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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.