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Finding the Fourth Proportional to 3,105.78, 4,657.69 and 2,612.35

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Solution

The fourth proportional to 3,105.78, 4,657.69 and 2,612.35 is: 3,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.78 : 4,657.69 = 2,612.35 : x
  2. Step 2: Convert to fraction form
    3,105.78/4,657.69 = 2,612.35/x
  3. Step 3: Cross multiply
    3,105.78x = 4,657.69 × 2,612.35
  4. Step 4: Simplify right side
    3,105.78x = 12,167,516.47
  5. Step 5: Solve for x
    x = 12,167,516.47/3,105.78
  6. Step 6: Final answer
    x = 3,917.70

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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.