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Finding the Fourth Proportional to 3,718.92, 5,576.22 and 1,986.60

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Solution

The fourth proportional to 3,718.92, 5,576.22 and 1,986.60 is: 2,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.92 : 5,576.22 = 1,986.60 : x
  2. Step 2: Convert to fraction form
    3,718.92/5,576.22 = 1,986.60/x
  3. Step 3: Cross multiply
    3,718.92x = 5,576.22 × 1,986.60
  4. Step 4: Simplify right side
    3,718.92x = 11,077,718.65
  5. Step 5: Solve for x
    x = 11,077,718.65/3,718.92
  6. Step 6: Final answer
    x = 2,978.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.