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Finding the Fourth Proportional to 3,208.06, 4,808.07 and 1,723.64

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Solution

The fourth proportional to 3,208.06, 4,808.07 and 1,723.64 is: 2,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.06 : 4,808.07 = 1,723.64 : x
  2. Step 2: Convert to fraction form
    3,208.06/4,808.07 = 1,723.64/x
  3. Step 3: Cross multiply
    3,208.06x = 4,808.07 × 1,723.64
  4. Step 4: Simplify right side
    3,208.06x = 8,287,381.77
  5. Step 5: Solve for x
    x = 8,287,381.77/3,208.06
  6. Step 6: Final answer
    x = 2,583.30

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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.