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Finding the Fourth Proportional to 4,206.35, 6,310.19 and 1,284.41

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Solution

The fourth proportional to 4,206.35, 6,310.19 and 1,284.41 is: 1,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.35 : 6,310.19 = 1,284.41 : x
  2. Step 2: Convert to fraction form
    4,206.35/6,310.19 = 1,284.41/x
  3. Step 3: Cross multiply
    4,206.35x = 6,310.19 × 1,284.41
  4. Step 4: Simplify right side
    4,206.35x = 8,104,842.80
  5. Step 5: Solve for x
    x = 8,104,842.80/4,206.35
  6. Step 6: Final answer
    x = 1,926.81

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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.