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Finding the Fourth Proportional to 5,406.61, 8,099.11 and 4,949.77

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Solution

The fourth proportional to 5,406.61, 8,099.11 and 4,949.77 is: 7,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.61 : 8,099.11 = 4,949.77 : x
  2. Step 2: Convert to fraction form
    5,406.61/8,099.11 = 4,949.77/x
  3. Step 3: Cross multiply
    5,406.61x = 8,099.11 × 4,949.77
  4. Step 4: Simplify right side
    5,406.61x = 40,088,731.70
  5. Step 5: Solve for x
    x = 40,088,731.70/5,406.61
  6. Step 6: Final answer
    x = 7,414.76

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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.