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Finding the Fourth Proportional to 6,419.94, 8,859.20 and 3,586.75

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Solution

The fourth proportional to 6,419.94, 8,859.20 and 3,586.75 is: 4,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.94 : 8,859.20 = 3,586.75 : x
  2. Step 2: Convert to fraction form
    6,419.94/8,859.20 = 3,586.75/x
  3. Step 3: Cross multiply
    6,419.94x = 8,859.20 × 3,586.75
  4. Step 4: Simplify right side
    6,419.94x = 31,775,735.60
  5. Step 5: Solve for x
    x = 31,775,735.60/6,419.94
  6. Step 6: Final answer
    x = 4,949.54

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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.