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Finding the Fourth Proportional to 4,208.68, 6,312.80 and 1,286.99

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Solution

The fourth proportional to 4,208.68, 6,312.80 and 1,286.99 is: 1,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.68 : 6,312.80 = 1,286.99 : x
  2. Step 2: Convert to fraction form
    4,208.68/6,312.80 = 1,286.99/x
  3. Step 3: Cross multiply
    4,208.68x = 6,312.80 × 1,286.99
  4. Step 4: Simplify right side
    4,208.68x = 8,124,500.37
  5. Step 5: Solve for x
    x = 8,124,500.37/4,208.68
  6. Step 6: Final answer
    x = 1,930.41

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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.