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Finding the Fourth Proportional to 5,099.45, 7,038.99 and 3,214.20

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Solution

The fourth proportional to 5,099.45, 7,038.99 and 3,214.20 is: 4,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.45 : 7,038.99 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    5,099.45/7,038.99 = 3,214.20/x
  3. Step 3: Cross multiply
    5,099.45x = 7,038.99 × 3,214.20
  4. Step 4: Simplify right side
    5,099.45x = 22,624,748.05
  5. Step 5: Solve for x
    x = 22,624,748.05/5,099.45
  6. Step 6: Final answer
    x = 4,436.71

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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.