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Finding the Fourth Proportional to 3,698.94, 5,548.08 and 1,477.68

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Solution

The fourth proportional to 3,698.94, 5,548.08 and 1,477.68 is: 2,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.94 : 5,548.08 = 1,477.68 : x
  2. Step 2: Convert to fraction form
    3,698.94/5,548.08 = 1,477.68/x
  3. Step 3: Cross multiply
    3,698.94x = 5,548.08 × 1,477.68
  4. Step 4: Simplify right side
    3,698.94x = 8,198,286.85
  5. Step 5: Solve for x
    x = 8,198,286.85/3,698.94
  6. Step 6: Final answer
    x = 2,216.39

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1.5x scale

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.