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Finding the Fourth Proportional to 4,196.87, 6,291.21 and 1,733.41

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Solution

The fourth proportional to 4,196.87, 6,291.21 and 1,733.41 is: 2,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.87 : 6,291.21 = 1,733.41 : x
  2. Step 2: Convert to fraction form
    4,196.87/6,291.21 = 1,733.41/x
  3. Step 3: Cross multiply
    4,196.87x = 6,291.21 × 1,733.41
  4. Step 4: Simplify right side
    4,196.87x = 10,905,246.33
  5. Step 5: Solve for x
    x = 10,905,246.33/4,196.87
  6. Step 6: Final answer
    x = 2,598.42

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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.