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Finding the Fourth Proportional to 5,299.95, 7,947.36 and 1,601.49

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Solution

The fourth proportional to 5,299.95, 7,947.36 and 1,601.49 is: 2,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.95 : 7,947.36 = 1,601.49 : x
  2. Step 2: Convert to fraction form
    5,299.95/7,947.36 = 1,601.49/x
  3. Step 3: Cross multiply
    5,299.95x = 7,947.36 × 1,601.49
  4. Step 4: Simplify right side
    5,299.95x = 12,727,617.57
  5. Step 5: Solve for x
    x = 12,727,617.57/5,299.95
  6. Step 6: Final answer
    x = 2,401.46

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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.