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Finding the Fourth Proportional to 3,485.56, 4,809.78 and 2,069.20

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Solution

The fourth proportional to 3,485.56, 4,809.78 and 2,069.20 is: 2,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.56 : 4,809.78 = 2,069.20 : x
  2. Step 2: Convert to fraction form
    3,485.56/4,809.78 = 2,069.20/x
  3. Step 3: Cross multiply
    3,485.56x = 4,809.78 × 2,069.20
  4. Step 4: Simplify right side
    3,485.56x = 9,952,396.78
  5. Step 5: Solve for x
    x = 9,952,396.78/3,485.56
  6. Step 6: Final answer
    x = 2,855.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.