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Finding the Fourth Proportional to 6,077.80, 9,116.70 and 3,478.60

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Solution

The fourth proportional to 6,077.80, 9,116.70 and 3,478.60 is: 5,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.80 : 9,116.70 = 3,478.60 : x
  2. Step 2: Convert to fraction form
    6,077.80/9,116.70 = 3,478.60/x
  3. Step 3: Cross multiply
    6,077.80x = 9,116.70 × 3,478.60
  4. Step 4: Simplify right side
    6,077.80x = 31,713,352.62
  5. Step 5: Solve for x
    x = 31,713,352.62/6,077.80
  6. Step 6: Final answer
    x = 5,217.90

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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.