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Finding the Fourth Proportional to 3,658, 5,048.12 and 2,002

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Solution

The fourth proportional to 3,658, 5,048.12 and 2,002 is: 2,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658 : 5,048.12 = 2,002 : x
  2. Step 2: Convert to fraction form
    3,658/5,048.12 = 2,002/x
  3. Step 3: Cross multiply
    3,658x = 5,048.12 × 2,002
  4. Step 4: Simplify right side
    3,658x = 10,106,336.24
  5. Step 5: Solve for x
    x = 10,106,336.24/3,658
  6. Step 6: Final answer
    x = 2,762.80

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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.