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Finding the Fourth Proportional to 5,926.16, 8,177.80 and 3,408.40

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Solution

The fourth proportional to 5,926.16, 8,177.80 and 3,408.40 is: 4,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.16 : 8,177.80 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    5,926.16/8,177.80 = 3,408.40/x
  3. Step 3: Cross multiply
    5,926.16x = 8,177.80 × 3,408.40
  4. Step 4: Simplify right side
    5,926.16x = 27,873,213.52
  5. Step 5: Solve for x
    x = 27,873,213.52/5,926.16
  6. Step 6: Final answer
    x = 4,703.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.