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Finding the Fourth Proportional to 3,986.92, 5,978.52 and 2,137.60

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Solution

The fourth proportional to 3,986.92, 5,978.52 and 2,137.60 is: 3,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.92 : 5,978.52 = 2,137.60 : x
  2. Step 2: Convert to fraction form
    3,986.92/5,978.52 = 2,137.60/x
  3. Step 3: Cross multiply
    3,986.92x = 5,978.52 × 2,137.60
  4. Step 4: Simplify right side
    3,986.92x = 12,779,684.35
  5. Step 5: Solve for x
    x = 12,779,684.35/3,986.92
  6. Step 6: Final answer
    x = 3,205.40

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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.