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Finding the Fourth Proportional to 3,647.94, 5,473.07 and 1,306.36

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Solution

The fourth proportional to 3,647.94, 5,473.07 and 1,306.36 is: 1,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.94 : 5,473.07 = 1,306.36 : x
  2. Step 2: Convert to fraction form
    3,647.94/5,473.07 = 1,306.36/x
  3. Step 3: Cross multiply
    3,647.94x = 5,473.07 × 1,306.36
  4. Step 4: Simplify right side
    3,647.94x = 7,149,804.93
  5. Step 5: Solve for x
    x = 7,149,804.93/3,647.94
  6. Step 6: Final answer
    x = 1,959.96

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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.