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Finding the Fourth Proportional to 4,728.28, 7,093.50 and 2,263.72

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Solution

The fourth proportional to 4,728.28, 7,093.50 and 2,263.72 is: 3,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.28 : 7,093.50 = 2,263.72 : x
  2. Step 2: Convert to fraction form
    4,728.28/7,093.50 = 2,263.72/x
  3. Step 3: Cross multiply
    4,728.28x = 7,093.50 × 2,263.72
  4. Step 4: Simplify right side
    4,728.28x = 16,057,697.82
  5. Step 5: Solve for x
    x = 16,057,697.82/4,728.28
  6. Step 6: Final answer
    x = 3,396.10

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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.