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Finding the Fourth Proportional to 5,926, 8,177.88 and 3,442

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Solution

The fourth proportional to 5,926, 8,177.88 and 3,442 is: 4,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926 : 8,177.88 = 3,442 : x
  2. Step 2: Convert to fraction form
    5,926/8,177.88 = 3,442/x
  3. Step 3: Cross multiply
    5,926x = 8,177.88 × 3,442
  4. Step 4: Simplify right side
    5,926x = 28,148,262.96
  5. Step 5: Solve for x
    x = 28,148,262.96/5,926
  6. Step 6: Final answer
    x = 4,749.96

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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.