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Finding the Fourth Proportional to 4,764.90, 6,573.34 and 3,086.85

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Solution

The fourth proportional to 4,764.90, 6,573.34 and 3,086.85 is: 4,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.90 : 6,573.34 = 3,086.85 : x
  2. Step 2: Convert to fraction form
    4,764.90/6,573.34 = 3,086.85/x
  3. Step 3: Cross multiply
    4,764.90x = 6,573.34 × 3,086.85
  4. Step 4: Simplify right side
    4,764.90x = 20,290,914.58
  5. Step 5: Solve for x
    x = 20,290,914.58/4,764.90
  6. Step 6: Final answer
    x = 4,258.41

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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.