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Finding the Fourth Proportional to 5,196.84, 7,169.36 and 3,099.75

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Solution

The fourth proportional to 5,196.84, 7,169.36 and 3,099.75 is: 4,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.84 : 7,169.36 = 3,099.75 : x
  2. Step 2: Convert to fraction form
    5,196.84/7,169.36 = 3,099.75/x
  3. Step 3: Cross multiply
    5,196.84x = 7,169.36 × 3,099.75
  4. Step 4: Simplify right side
    5,196.84x = 22,223,208.16
  5. Step 5: Solve for x
    x = 22,223,208.16/5,196.84
  6. Step 6: Final answer
    x = 4,276.29

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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.