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Finding the Fourth Proportional to 3,208.44, 4,802.52 and 2,317.44

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Solution

The fourth proportional to 3,208.44, 4,802.52 and 2,317.44 is: 3,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.44 : 4,802.52 = 2,317.44 : x
  2. Step 2: Convert to fraction form
    3,208.44/4,802.52 = 2,317.44/x
  3. Step 3: Cross multiply
    3,208.44x = 4,802.52 × 2,317.44
  4. Step 4: Simplify right side
    3,208.44x = 11,129,551.95
  5. Step 5: Solve for x
    x = 11,129,551.95/3,208.44
  6. Step 6: Final answer
    x = 3,468.84

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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.