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Finding the Fourth Proportional to 6,105.90, 9,158.84 and 1,722.78

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Solution

The fourth proportional to 6,105.90, 9,158.84 and 1,722.78 is: 2,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.90 : 9,158.84 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    6,105.90/9,158.84 = 1,722.78/x
  3. Step 3: Cross multiply
    6,105.90x = 9,158.84 × 1,722.78
  4. Step 4: Simplify right side
    6,105.90x = 15,778,657.76
  5. Step 5: Solve for x
    x = 15,778,657.76/6,105.90
  6. Step 6: Final answer
    x = 2,584.17

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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.