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Finding the Fourth Proportional to 5,196.24, 7,793.88 and 2,118

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Solution

The fourth proportional to 5,196.24, 7,793.88 and 2,118 is: 3,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.24 : 7,793.88 = 2,118 : x
  2. Step 2: Convert to fraction form
    5,196.24/7,793.88 = 2,118/x
  3. Step 3: Cross multiply
    5,196.24x = 7,793.88 × 2,118
  4. Step 4: Simplify right side
    5,196.24x = 16,507,437.84
  5. Step 5: Solve for x
    x = 16,507,437.84/5,196.24
  6. Step 6: Final answer
    x = 3,176.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.