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Finding the Fourth Proportional to 4,728.63, 7,092.03 and 1,806.24

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Solution

The fourth proportional to 4,728.63, 7,092.03 and 1,806.24 is: 2,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.63 : 7,092.03 = 1,806.24 : x
  2. Step 2: Convert to fraction form
    4,728.63/7,092.03 = 1,806.24/x
  3. Step 3: Cross multiply
    4,728.63x = 7,092.03 × 1,806.24
  4. Step 4: Simplify right side
    4,728.63x = 12,809,908.27
  5. Step 5: Solve for x
    x = 12,809,908.27/4,728.63
  6. Step 6: Final answer
    x = 2,709.01

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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.