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Finding the Fourth Proportional to 3,106.27, 4,657.95 and 914.57

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Solution

The fourth proportional to 3,106.27, 4,657.95 and 914.57 is: 1,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.27 : 4,657.95 = 914.57 : x
  2. Step 2: Convert to fraction form
    3,106.27/4,657.95 = 914.57/x
  3. Step 3: Cross multiply
    3,106.27x = 4,657.95 × 914.57
  4. Step 4: Simplify right side
    3,106.27x = 4,260,021.33
  5. Step 5: Solve for x
    x = 4,260,021.33/3,106.27
  6. Step 6: Final answer
    x = 1,371.43

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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.