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Finding the Fourth Proportional to 4,517.40, 6,776.10 and 3,804.60

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Solution

The fourth proportional to 4,517.40, 6,776.10 and 3,804.60 is: 5,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.40 : 6,776.10 = 3,804.60 : x
  2. Step 2: Convert to fraction form
    4,517.40/6,776.10 = 3,804.60/x
  3. Step 3: Cross multiply
    4,517.40x = 6,776.10 × 3,804.60
  4. Step 4: Simplify right side
    4,517.40x = 25,780,350.06
  5. Step 5: Solve for x
    x = 25,780,350.06/4,517.40
  6. Step 6: Final answer
    x = 5,706.90

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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.