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Finding the Fourth Proportional to 5,299.14, 7,949.16 and 1,601.40

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Solution

The fourth proportional to 5,299.14, 7,949.16 and 1,601.40 is: 2,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.14 : 7,949.16 = 1,601.40 : x
  2. Step 2: Convert to fraction form
    5,299.14/7,949.16 = 1,601.40/x
  3. Step 3: Cross multiply
    5,299.14x = 7,949.16 × 1,601.40
  4. Step 4: Simplify right side
    5,299.14x = 12,729,784.82
  5. Step 5: Solve for x
    x = 12,729,784.82/5,299.14
  6. Step 6: Final answer
    x = 2,402.24

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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.