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Finding the Fourth Proportional to 3,604.32, 5,408.60 and 1,524.20

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Solution

The fourth proportional to 3,604.32, 5,408.60 and 1,524.20 is: 2,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.32 : 5,408.60 = 1,524.20 : x
  2. Step 2: Convert to fraction form
    3,604.32/5,408.60 = 1,524.20/x
  3. Step 3: Cross multiply
    3,604.32x = 5,408.60 × 1,524.20
  4. Step 4: Simplify right side
    3,604.32x = 8,243,753.46
  5. Step 5: Solve for x
    x = 8,243,753.46/3,604.32
  6. Step 6: Final answer
    x = 2,287.19

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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.