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Finding the Fourth Proportional to 6,419.25, 8,859.78 and 3,624.75

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Solution

The fourth proportional to 6,419.25, 8,859.78 and 3,624.75 is: 5,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 8,859.78 = 3,624.75 : x
  2. Step 2: Convert to fraction form
    6,419.25/8,859.78 = 3,624.75/x
  3. Step 3: Cross multiply
    6,419.25x = 8,859.78 × 3,624.75
  4. Step 4: Simplify right side
    6,419.25x = 32,114,487.56
  5. Step 5: Solve for x
    x = 32,114,487.56/6,419.25
  6. Step 6: Final answer
    x = 5,002.84

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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.