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Finding the Fourth Proportional to 4,101.87, 6,153.86 and 1,908.03

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Solution

The fourth proportional to 4,101.87, 6,153.86 and 1,908.03 is: 2,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.87 : 6,153.86 = 1,908.03 : x
  2. Step 2: Convert to fraction form
    4,101.87/6,153.86 = 1,908.03/x
  3. Step 3: Cross multiply
    4,101.87x = 6,153.86 × 1,908.03
  4. Step 4: Simplify right side
    4,101.87x = 11,741,749.50
  5. Step 5: Solve for x
    x = 11,741,749.50/4,101.87
  6. Step 6: Final answer
    x = 2,862.54

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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.