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Finding the Fourth Proportional to 4,102.77, 6,148.04 and 1,911.09

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Solution

The fourth proportional to 4,102.77, 6,148.04 and 1,911.09 is: 2,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.77 : 6,148.04 = 1,911.09 : x
  2. Step 2: Convert to fraction form
    4,102.77/6,148.04 = 1,911.09/x
  3. Step 3: Cross multiply
    4,102.77x = 6,148.04 × 1,911.09
  4. Step 4: Simplify right side
    4,102.77x = 11,749,448.21
  5. Step 5: Solve for x
    x = 11,749,448.21/4,102.77
  6. Step 6: Final answer
    x = 2,863.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.