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Finding the Fourth Proportional to 3,762.02, 5,636.64 and 2,661

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Solution

The fourth proportional to 3,762.02, 5,636.64 and 2,661 is: 3,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.02 : 5,636.64 = 2,661 : x
  2. Step 2: Convert to fraction form
    3,762.02/5,636.64 = 2,661/x
  3. Step 3: Cross multiply
    3,762.02x = 5,636.64 × 2,661
  4. Step 4: Simplify right side
    3,762.02x = 14,999,099.04
  5. Step 5: Solve for x
    x = 14,999,099.04/3,762.02
  6. Step 6: Final answer
    x = 3,986.98

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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.