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Finding the Fourth Proportional to 3,105.76, 4,682.44 and 2,894.28

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Solution

The fourth proportional to 3,105.76, 4,682.44 and 2,894.28 is: 4,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.76 : 4,682.44 = 2,894.28 : x
  2. Step 2: Convert to fraction form
    3,105.76/4,682.44 = 2,894.28/x
  3. Step 3: Cross multiply
    3,105.76x = 4,682.44 × 2,894.28
  4. Step 4: Simplify right side
    3,105.76x = 13,552,292.44
  5. Step 5: Solve for x
    x = 13,552,292.44/3,105.76
  6. Step 6: Final answer
    x = 4,363.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.