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Finding the Fourth Proportional to 6,441.60, 8,895.33 and 4,084.50

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Solution

The fourth proportional to 6,441.60, 8,895.33 and 4,084.50 is: 5,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.60 : 8,895.33 = 4,084.50 : x
  2. Step 2: Convert to fraction form
    6,441.60/8,895.33 = 4,084.50/x
  3. Step 3: Cross multiply
    6,441.60x = 8,895.33 × 4,084.50
  4. Step 4: Simplify right side
    6,441.60x = 36,332,975.39
  5. Step 5: Solve for x
    x = 36,332,975.39/6,441.60
  6. Step 6: Final answer
    x = 5,640.37

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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.