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Finding the Fourth Proportional to 5,311.94, 7,967.95 and 1,849.18

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Solution

The fourth proportional to 5,311.94, 7,967.95 and 1,849.18 is: 2,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.94 : 7,967.95 = 1,849.18 : x
  2. Step 2: Convert to fraction form
    5,311.94/7,967.95 = 1,849.18/x
  3. Step 3: Cross multiply
    5,311.94x = 7,967.95 × 1,849.18
  4. Step 4: Simplify right side
    5,311.94x = 14,734,173.78
  5. Step 5: Solve for x
    x = 14,734,173.78/5,311.94
  6. Step 6: Final answer
    x = 2,773.78

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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.