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Finding the Fourth Proportional to 6,416.84, 8,855.70 and 3,584.78

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Solution

The fourth proportional to 6,416.84, 8,855.70 and 3,584.78 is: 4,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.84 : 8,855.70 = 3,584.78 : x
  2. Step 2: Convert to fraction form
    6,416.84/8,855.70 = 3,584.78/x
  3. Step 3: Cross multiply
    6,416.84x = 8,855.70 × 3,584.78
  4. Step 4: Simplify right side
    6,416.84x = 31,745,736.25
  5. Step 5: Solve for x
    x = 31,745,736.25/6,416.84
  6. Step 6: Final answer
    x = 4,947.25

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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.