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Finding the Fourth Proportional to 3,762.54, 5,638.68 and 2,199.24

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Solution

The fourth proportional to 3,762.54, 5,638.68 and 2,199.24 is: 3,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.54 : 5,638.68 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    3,762.54/5,638.68 = 2,199.24/x
  3. Step 3: Cross multiply
    3,762.54x = 5,638.68 × 2,199.24
  4. Step 4: Simplify right side
    3,762.54x = 12,400,810.60
  5. Step 5: Solve for x
    x = 12,400,810.60/3,762.54
  6. Step 6: Final answer
    x = 3,295.86

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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.