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Finding the Fourth Proportional to 3,605.50, 4,975.59 and 1,949.50

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Solution

The fourth proportional to 3,605.50, 4,975.59 and 1,949.50 is: 2,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.50 : 4,975.59 = 1,949.50 : x
  2. Step 2: Convert to fraction form
    3,605.50/4,975.59 = 1,949.50/x
  3. Step 3: Cross multiply
    3,605.50x = 4,975.59 × 1,949.50
  4. Step 4: Simplify right side
    3,605.50x = 9,699,912.71
  5. Step 5: Solve for x
    x = 9,699,912.71/3,605.50
  6. Step 6: Final answer
    x = 2,690.31

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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.