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Finding the Fourth Proportional to 4,309.80, 6,463.08 and 1,844.86

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Solution

The fourth proportional to 4,309.80, 6,463.08 and 1,844.86 is: 2,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.80 : 6,463.08 = 1,844.86 : x
  2. Step 2: Convert to fraction form
    4,309.80/6,463.08 = 1,844.86/x
  3. Step 3: Cross multiply
    4,309.80x = 6,463.08 × 1,844.86
  4. Step 4: Simplify right side
    4,309.80x = 11,923,477.77
  5. Step 5: Solve for x
    x = 11,923,477.77/4,309.80
  6. Step 6: Final answer
    x = 2,766.60

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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.