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Finding the Fourth Proportional to 4,618.32, 6,927.27 and 1,696.41

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Solution

The fourth proportional to 4,618.32, 6,927.27 and 1,696.41 is: 2,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.32 : 6,927.27 = 1,696.41 : x
  2. Step 2: Convert to fraction form
    4,618.32/6,927.27 = 1,696.41/x
  3. Step 3: Cross multiply
    4,618.32x = 6,927.27 × 1,696.41
  4. Step 4: Simplify right side
    4,618.32x = 11,751,490.10
  5. Step 5: Solve for x
    x = 11,751,490.10/4,618.32
  6. Step 6: Final answer
    x = 2,544.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.