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Finding the Fourth Proportional to 5,022.60, 6,926.98 and 3,766.64

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Solution

The fourth proportional to 5,022.60, 6,926.98 and 3,766.64 is: 5,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.60 : 6,926.98 = 3,766.64 : x
  2. Step 2: Convert to fraction form
    5,022.60/6,926.98 = 3,766.64/x
  3. Step 3: Cross multiply
    5,022.60x = 6,926.98 × 3,766.64
  4. Step 4: Simplify right side
    5,022.60x = 26,091,439.95
  5. Step 5: Solve for x
    x = 26,091,439.95/5,022.60
  6. Step 6: Final answer
    x = 5,194.81

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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.