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Finding the Fourth Proportional to 4,764.91, 6,573.37 and 3,086.87

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Solution

The fourth proportional to 4,764.91, 6,573.37 and 3,086.87 is: 4,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.91 : 6,573.37 = 3,086.87 : x
  2. Step 2: Convert to fraction form
    4,764.91/6,573.37 = 3,086.87/x
  3. Step 3: Cross multiply
    4,764.91x = 6,573.37 × 3,086.87
  4. Step 4: Simplify right side
    4,764.91x = 20,291,138.65
  5. Step 5: Solve for x
    x = 20,291,138.65/4,764.91
  6. Step 6: Final answer
    x = 4,258.45

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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.