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Finding the Fourth Proportional to 5,906.96, 8,852.47 and 3,274.36

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Solution

The fourth proportional to 5,906.96, 8,852.47 and 3,274.36 is: 4,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.96 : 8,852.47 = 3,274.36 : x
  2. Step 2: Convert to fraction form
    5,906.96/8,852.47 = 3,274.36/x
  3. Step 3: Cross multiply
    5,906.96x = 8,852.47 × 3,274.36
  4. Step 4: Simplify right side
    5,906.96x = 28,986,173.67
  5. Step 5: Solve for x
    x = 28,986,173.67/5,906.96
  6. Step 6: Final answer
    x = 4,907.12

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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.