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Finding the Fourth Proportional to 4,137.58, 6,206.57 and 1,364.24

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Solution

The fourth proportional to 4,137.58, 6,206.57 and 1,364.24 is: 2,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.58 : 6,206.57 = 1,364.24 : x
  2. Step 2: Convert to fraction form
    4,137.58/6,206.57 = 1,364.24/x
  3. Step 3: Cross multiply
    4,137.58x = 6,206.57 × 1,364.24
  4. Step 4: Simplify right side
    4,137.58x = 8,467,213.20
  5. Step 5: Solve for x
    x = 8,467,213.20/4,137.58
  6. Step 6: Final answer
    x = 2,046.42

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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.