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Finding the Fourth Proportional to 4,441, 6,657.86 and 1,845.80

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Solution

The fourth proportional to 4,441, 6,657.86 and 1,845.80 is: 2,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441 : 6,657.86 = 1,845.80 : x
  2. Step 2: Convert to fraction form
    4,441/6,657.86 = 1,845.80/x
  3. Step 3: Cross multiply
    4,441x = 6,657.86 × 1,845.80
  4. Step 4: Simplify right side
    4,441x = 12,289,077.99
  5. Step 5: Solve for x
    x = 12,289,077.99/4,441
  6. Step 6: Final answer
    x = 2,767.19

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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.