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Finding the Fourth Proportional to 3,237.57, 4,467.92 and 1,911.60

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Solution

The fourth proportional to 3,237.57, 4,467.92 and 1,911.60 is: 2,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.57 : 4,467.92 = 1,911.60 : x
  2. Step 2: Convert to fraction form
    3,237.57/4,467.92 = 1,911.60/x
  3. Step 3: Cross multiply
    3,237.57x = 4,467.92 × 1,911.60
  4. Step 4: Simplify right side
    3,237.57x = 8,540,866.31
  5. Step 5: Solve for x
    x = 8,540,866.31/3,237.57
  6. Step 6: Final answer
    x = 2,638.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.