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Finding the Fourth Proportional to 4,728.96, 7,093.71 and 1,442.28

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Solution

The fourth proportional to 4,728.96, 7,093.71 and 1,442.28 is: 2,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.96 : 7,093.71 = 1,442.28 : x
  2. Step 2: Convert to fraction form
    4,728.96/7,093.71 = 1,442.28/x
  3. Step 3: Cross multiply
    4,728.96x = 7,093.71 × 1,442.28
  4. Step 4: Simplify right side
    4,728.96x = 10,231,116.06
  5. Step 5: Solve for x
    x = 10,231,116.06/4,728.96
  6. Step 6: Final answer
    x = 2,163.50

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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.