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Finding the Fourth Proportional to 5,208.88, 7,185.74 and 3,083.84

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Solution

The fourth proportional to 5,208.88, 7,185.74 and 3,083.84 is: 4,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.88 : 7,185.74 = 3,083.84 : x
  2. Step 2: Convert to fraction form
    5,208.88/7,185.74 = 3,083.84/x
  3. Step 3: Cross multiply
    5,208.88x = 7,185.74 × 3,083.84
  4. Step 4: Simplify right side
    5,208.88x = 22,159,672.44
  5. Step 5: Solve for x
    x = 22,159,672.44/5,208.88
  6. Step 6: Final answer
    x = 4,254.21

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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.