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Finding the Fourth Proportional to 3,604.47, 5,406.76 and 1,524.21

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Solution

The fourth proportional to 3,604.47, 5,406.76 and 1,524.21 is: 2,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.47 : 5,406.76 = 1,524.21 : x
  2. Step 2: Convert to fraction form
    3,604.47/5,406.76 = 1,524.21/x
  3. Step 3: Cross multiply
    3,604.47x = 5,406.76 × 1,524.21
  4. Step 4: Simplify right side
    3,604.47x = 8,241,054.12
  5. Step 5: Solve for x
    x = 8,241,054.12/3,604.47
  6. Step 6: Final answer
    x = 2,286.34

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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.