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Finding the Fourth Proportional to 5,942.85, 8,216.79 and 5,204.74

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Solution

The fourth proportional to 5,942.85, 8,216.79 and 5,204.74 is: 7,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.85 : 8,216.79 = 5,204.74 : x
  2. Step 2: Convert to fraction form
    5,942.85/8,216.79 = 5,204.74/x
  3. Step 3: Cross multiply
    5,942.85x = 8,216.79 × 5,204.74
  4. Step 4: Simplify right side
    5,942.85x = 42,766,235.04
  5. Step 5: Solve for x
    x = 42,766,235.04/5,942.85
  6. Step 6: Final answer
    x = 7,196.25

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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.