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Finding the Fourth Proportional to 3,286.63, 4,930.47 and 1,312.26

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Solution

The fourth proportional to 3,286.63, 4,930.47 and 1,312.26 is: 1,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.63 : 4,930.47 = 1,312.26 : x
  2. Step 2: Convert to fraction form
    3,286.63/4,930.47 = 1,312.26/x
  3. Step 3: Cross multiply
    3,286.63x = 4,930.47 × 1,312.26
  4. Step 4: Simplify right side
    3,286.63x = 6,470,058.56
  5. Step 5: Solve for x
    x = 6,470,058.56/3,286.63
  6. Step 6: Final answer
    x = 1,968.60

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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.