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Finding the Fourth Proportional to 3,662.47, 5,496.77 and 1,584.06

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Solution

The fourth proportional to 3,662.47, 5,496.77 and 1,584.06 is: 2,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.47 : 5,496.77 = 1,584.06 : x
  2. Step 2: Convert to fraction form
    3,662.47/5,496.77 = 1,584.06/x
  3. Step 3: Cross multiply
    3,662.47x = 5,496.77 × 1,584.06
  4. Step 4: Simplify right side
    3,662.47x = 8,707,217.45
  5. Step 5: Solve for x
    x = 8,707,217.45/3,662.47
  6. Step 6: Final answer
    x = 2,377.42

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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.