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Finding the Fourth Proportional to 4,586.46, 6,879.69 and 3,276.18

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Solution

The fourth proportional to 4,586.46, 6,879.69 and 3,276.18 is: 4,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.46 : 6,879.69 = 3,276.18 : x
  2. Step 2: Convert to fraction form
    4,586.46/6,879.69 = 3,276.18/x
  3. Step 3: Cross multiply
    4,586.46x = 6,879.69 × 3,276.18
  4. Step 4: Simplify right side
    4,586.46x = 22,539,102.78
  5. Step 5: Solve for x
    x = 22,539,102.78/4,586.46
  6. Step 6: Final answer
    x = 4,914.27

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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.