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Finding the Fourth Proportional to 3,419.76, 5,119.77 and 2,009.91

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Solution

The fourth proportional to 3,419.76, 5,119.77 and 2,009.91 is: 3,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.76 : 5,119.77 = 2,009.91 : x
  2. Step 2: Convert to fraction form
    3,419.76/5,119.77 = 2,009.91/x
  3. Step 3: Cross multiply
    3,419.76x = 5,119.77 × 2,009.91
  4. Step 4: Simplify right side
    3,419.76x = 10,290,276.92
  5. Step 5: Solve for x
    x = 10,290,276.92/3,419.76
  6. Step 6: Final answer
    x = 3,009.06

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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.