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Finding the Fourth Proportional to 3,926.88, 5,406.48 and 3,136.32

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Solution

The fourth proportional to 3,926.88, 5,406.48 and 3,136.32 is: 4,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.88 : 5,406.48 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    3,926.88/5,406.48 = 3,136.32/x
  3. Step 3: Cross multiply
    3,926.88x = 5,406.48 × 3,136.32
  4. Step 4: Simplify right side
    3,926.88x = 16,956,451.35
  5. Step 5: Solve for x
    x = 16,956,451.35/3,926.88
  6. Step 6: Final answer
    x = 4,318.05

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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.