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Finding the Fourth Proportional to 3,419.77, 5,129.02 and 2,129.21

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Solution

The fourth proportional to 3,419.77, 5,129.02 and 2,129.21 is: 3,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.77 : 5,129.02 = 2,129.21 : x
  2. Step 2: Convert to fraction form
    3,419.77/5,129.02 = 2,129.21/x
  3. Step 3: Cross multiply
    3,419.77x = 5,129.02 × 2,129.21
  4. Step 4: Simplify right side
    3,419.77x = 10,920,750.03
  5. Step 5: Solve for x
    x = 10,920,750.03/3,419.77
  6. Step 6: Final answer
    x = 3,193.42

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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.