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Finding the Fourth Proportional to 5,299.64, 7,949.38 and 1,836.92

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Solution

The fourth proportional to 5,299.64, 7,949.38 and 1,836.92 is: 2,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.64 : 7,949.38 = 1,836.92 : x
  2. Step 2: Convert to fraction form
    5,299.64/7,949.38 = 1,836.92/x
  3. Step 3: Cross multiply
    5,299.64x = 7,949.38 × 1,836.92
  4. Step 4: Simplify right side
    5,299.64x = 14,602,375.11
  5. Step 5: Solve for x
    x = 14,602,375.11/5,299.64
  6. Step 6: Final answer
    x = 2,755.35

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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.