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Finding the Fourth Proportional to 5,419.70, 8,130.75 and 1,722.15

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Solution

The fourth proportional to 5,419.70, 8,130.75 and 1,722.15 is: 2,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.70 : 8,130.75 = 1,722.15 : x
  2. Step 2: Convert to fraction form
    5,419.70/8,130.75 = 1,722.15/x
  3. Step 3: Cross multiply
    5,419.70x = 8,130.75 × 1,722.15
  4. Step 4: Simplify right side
    5,419.70x = 14,002,371.11
  5. Step 5: Solve for x
    x = 14,002,371.11/5,419.70
  6. Step 6: Final answer
    x = 2,583.61

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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.