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Finding the Fourth Proportional to 5,419.94, 8,129.85 and 1,722.44

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Solution

The fourth proportional to 5,419.94, 8,129.85 and 1,722.44 is: 2,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.94 : 8,129.85 = 1,722.44 : x
  2. Step 2: Convert to fraction form
    5,419.94/8,129.85 = 1,722.44/x
  3. Step 3: Cross multiply
    5,419.94x = 8,129.85 × 1,722.44
  4. Step 4: Simplify right side
    5,419.94x = 14,003,138.18
  5. Step 5: Solve for x
    x = 14,003,138.18/5,419.94
  6. Step 6: Final answer
    x = 2,583.64

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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.