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Finding the Fourth Proportional to 4,047.06, 6,069.49 and 1,738.02

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Solution

The fourth proportional to 4,047.06, 6,069.49 and 1,738.02 is: 2,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.06 : 6,069.49 = 1,738.02 : x
  2. Step 2: Convert to fraction form
    4,047.06/6,069.49 = 1,738.02/x
  3. Step 3: Cross multiply
    4,047.06x = 6,069.49 × 1,738.02
  4. Step 4: Simplify right side
    4,047.06x = 10,548,895.01
  5. Step 5: Solve for x
    x = 10,548,895.01/4,047.06
  6. Step 6: Final answer
    x = 2,606.56

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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.