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Finding the Fourth Proportional to 3,605.64, 4,975.77 and 1,949.64

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Solution

The fourth proportional to 3,605.64, 4,975.77 and 1,949.64 is: 2,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.64 : 4,975.77 = 1,949.64 : x
  2. Step 2: Convert to fraction form
    3,605.64/4,975.77 = 1,949.64/x
  3. Step 3: Cross multiply
    3,605.64x = 4,975.77 × 1,949.64
  4. Step 4: Simplify right side
    3,605.64x = 9,700,960.22
  5. Step 5: Solve for x
    x = 9,700,960.22/3,605.64
  6. Step 6: Final answer
    x = 2,690.50

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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.