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Finding the Fourth Proportional to 3,601.82, 4,970.61 and 1,986.65

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Solution

The fourth proportional to 3,601.82, 4,970.61 and 1,986.65 is: 2,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.82 : 4,970.61 = 1,986.65 : x
  2. Step 2: Convert to fraction form
    3,601.82/4,970.61 = 1,986.65/x
  3. Step 3: Cross multiply
    3,601.82x = 4,970.61 × 1,986.65
  4. Step 4: Simplify right side
    3,601.82x = 9,874,862.36
  5. Step 5: Solve for x
    x = 9,874,862.36/3,601.82
  6. Step 6: Final answer
    x = 2,741.63

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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.