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Finding the Fourth Proportional to 3,532.32, 4,843.62 and 3,408.72

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Solution

The fourth proportional to 3,532.32, 4,843.62 and 3,408.72 is: 4,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.32 : 4,843.62 = 3,408.72 : x
  2. Step 2: Convert to fraction form
    3,532.32/4,843.62 = 3,408.72/x
  3. Step 3: Cross multiply
    3,532.32x = 4,843.62 × 3,408.72
  4. Step 4: Simplify right side
    3,532.32x = 16,510,544.37
  5. Step 5: Solve for x
    x = 16,510,544.37/3,532.32
  6. Step 6: Final answer
    x = 4,674.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.