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Finding the Fourth Proportional to 3,604.19, 5,408.41 and 1,524.06

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Solution

The fourth proportional to 3,604.19, 5,408.41 and 1,524.06 is: 2,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.19 : 5,408.41 = 1,524.06 : x
  2. Step 2: Convert to fraction form
    3,604.19/5,408.41 = 1,524.06/x
  3. Step 3: Cross multiply
    3,604.19x = 5,408.41 × 1,524.06
  4. Step 4: Simplify right side
    3,604.19x = 8,242,741.34
  5. Step 5: Solve for x
    x = 8,242,741.34/3,604.19
  6. Step 6: Final answer
    x = 2,286.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.