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Finding the Fourth Proportional to 3,208.91, 4,813.37 and 1,477.55

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Solution

The fourth proportional to 3,208.91, 4,813.37 and 1,477.55 is: 2,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.91 : 4,813.37 = 1,477.55 : x
  2. Step 2: Convert to fraction form
    3,208.91/4,813.37 = 1,477.55/x
  3. Step 3: Cross multiply
    3,208.91x = 4,813.37 × 1,477.55
  4. Step 4: Simplify right side
    3,208.91x = 7,111,987.46
  5. Step 5: Solve for x
    x = 7,111,987.46/3,208.91
  6. Step 6: Final answer
    x = 2,216.33

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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.