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Finding the Fourth Proportional to 3,208.08, 4,813.92 and 1,476.84

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Solution

The fourth proportional to 3,208.08, 4,813.92 and 1,476.84 is: 2,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.08 : 4,813.92 = 1,476.84 : x
  2. Step 2: Convert to fraction form
    3,208.08/4,813.92 = 1,476.84/x
  3. Step 3: Cross multiply
    3,208.08x = 4,813.92 × 1,476.84
  4. Step 4: Simplify right side
    3,208.08x = 7,109,389.61
  5. Step 5: Solve for x
    x = 7,109,389.61/3,208.08
  6. Step 6: Final answer
    x = 2,216.09

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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.