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Finding the Fourth Proportional to 5,115.84, 7,673.74 and 3,468.30

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Solution

The fourth proportional to 5,115.84, 7,673.74 and 3,468.30 is: 5,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.84 : 7,673.74 = 3,468.30 : x
  2. Step 2: Convert to fraction form
    5,115.84/7,673.74 = 3,468.30/x
  3. Step 3: Cross multiply
    5,115.84x = 7,673.74 × 3,468.30
  4. Step 4: Simplify right side
    5,115.84x = 26,614,832.44
  5. Step 5: Solve for x
    x = 26,614,832.44/5,115.84
  6. Step 6: Final answer
    x = 5,202.44

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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.