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Finding the Fourth Proportional to 4,105.17, 6,154.25 and 1,883.25

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Solution

The fourth proportional to 4,105.17, 6,154.25 and 1,883.25 is: 2,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.17 : 6,154.25 = 1,883.25 : x
  2. Step 2: Convert to fraction form
    4,105.17/6,154.25 = 1,883.25/x
  3. Step 3: Cross multiply
    4,105.17x = 6,154.25 × 1,883.25
  4. Step 4: Simplify right side
    4,105.17x = 11,589,981.90
  5. Step 5: Solve for x
    x = 11,589,981.90/4,105.17
  6. Step 6: Final answer
    x = 2,823.26

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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.