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Finding the Fourth Proportional to 4,766.94, 6,577.86 and 3,881.20

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Solution

The fourth proportional to 4,766.94, 6,577.86 and 3,881.20 is: 5,355.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.94 : 6,577.86 = 3,881.20 : x
  2. Step 2: Convert to fraction form
    4,766.94/6,577.86 = 3,881.20/x
  3. Step 3: Cross multiply
    4,766.94x = 6,577.86 × 3,881.20
  4. Step 4: Simplify right side
    4,766.94x = 25,529,990.23
  5. Step 5: Solve for x
    x = 25,529,990.23/4,766.94
  6. Step 6: Final answer
    x = 5,355.63

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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.