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Finding the Fourth Proportional to 4,889.84, 6,740.42 and 3,893.54

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Solution

The fourth proportional to 4,889.84, 6,740.42 and 3,893.54 is: 5,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.84 : 6,740.42 = 3,893.54 : x
  2. Step 2: Convert to fraction form
    4,889.84/6,740.42 = 3,893.54/x
  3. Step 3: Cross multiply
    4,889.84x = 6,740.42 × 3,893.54
  4. Step 4: Simplify right side
    4,889.84x = 26,244,041.72
  5. Step 5: Solve for x
    x = 26,244,041.72/4,889.84
  6. Step 6: Final answer
    x = 5,367.06

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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.