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Finding the Fourth Proportional to 3,255.84, 4,888.61 and 3,142.44

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Solution

The fourth proportional to 3,255.84, 4,888.61 and 3,142.44 is: 4,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.84 : 4,888.61 = 3,142.44 : x
  2. Step 2: Convert to fraction form
    3,255.84/4,888.61 = 3,142.44/x
  3. Step 3: Cross multiply
    3,255.84x = 4,888.61 × 3,142.44
  4. Step 4: Simplify right side
    3,255.84x = 15,362,163.61
  5. Step 5: Solve for x
    x = 15,362,163.61/3,255.84
  6. Step 6: Final answer
    x = 4,718.34

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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.