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Finding the Fourth Proportional to 5,299.67, 7,949.51 and 3,848.05

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Solution

The fourth proportional to 5,299.67, 7,949.51 and 3,848.05 is: 5,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.67 : 7,949.51 = 3,848.05 : x
  2. Step 2: Convert to fraction form
    5,299.67/7,949.51 = 3,848.05/x
  3. Step 3: Cross multiply
    5,299.67x = 7,949.51 × 3,848.05
  4. Step 4: Simplify right side
    5,299.67x = 30,590,101.70
  5. Step 5: Solve for x
    x = 30,590,101.70/5,299.67
  6. Step 6: Final answer
    x = 5,772.07

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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.