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Finding the Fourth Proportional to 4,728.06, 7,093.08 and 1,441.41

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Solution

The fourth proportional to 4,728.06, 7,093.08 and 1,441.41 is: 2,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.06 : 7,093.08 = 1,441.41 : x
  2. Step 2: Convert to fraction form
    4,728.06/7,093.08 = 1,441.41/x
  3. Step 3: Cross multiply
    4,728.06x = 7,093.08 × 1,441.41
  4. Step 4: Simplify right side
    4,728.06x = 10,224,036.44
  5. Step 5: Solve for x
    x = 10,224,036.44/4,728.06
  6. Step 6: Final answer
    x = 2,162.42

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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.