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Finding the Fourth Proportional to 3,105.19, 4,652.32 and 2,920.21

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Solution

The fourth proportional to 3,105.19, 4,652.32 and 2,920.21 is: 4,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.19 : 4,652.32 = 2,920.21 : x
  2. Step 2: Convert to fraction form
    3,105.19/4,652.32 = 2,920.21/x
  3. Step 3: Cross multiply
    3,105.19x = 4,652.32 × 2,920.21
  4. Step 4: Simplify right side
    3,105.19x = 13,585,737.93
  5. Step 5: Solve for x
    x = 13,585,737.93/3,105.19
  6. Step 6: Final answer
    x = 4,375.17

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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.