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Finding the Fourth Proportional to 4,983.96, 7,475.94 and 1,286.19

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Solution

The fourth proportional to 4,983.96, 7,475.94 and 1,286.19 is: 1,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.96 : 7,475.94 = 1,286.19 : x
  2. Step 2: Convert to fraction form
    4,983.96/7,475.94 = 1,286.19/x
  3. Step 3: Cross multiply
    4,983.96x = 7,475.94 × 1,286.19
  4. Step 4: Simplify right side
    4,983.96x = 9,615,479.27
  5. Step 5: Solve for x
    x = 9,615,479.27/4,983.96
  6. Step 6: Final answer
    x = 1,929.29

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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.