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Finding the Fourth Proportional to 5,299.82, 7,948.71 and 1,601.19

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Solution

The fourth proportional to 5,299.82, 7,948.71 and 1,601.19 is: 2,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.82 : 7,948.71 = 1,601.19 : x
  2. Step 2: Convert to fraction form
    5,299.82/7,948.71 = 1,601.19/x
  3. Step 3: Cross multiply
    5,299.82x = 7,948.71 × 1,601.19
  4. Step 4: Simplify right side
    5,299.82x = 12,727,394.96
  5. Step 5: Solve for x
    x = 12,727,394.96/5,299.82
  6. Step 6: Final answer
    x = 2,401.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.