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Finding the Fourth Proportional to 4,749.46, 7,124.19 and 1,286.71

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Solution

The fourth proportional to 4,749.46, 7,124.19 and 1,286.71 is: 1,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.46 : 7,124.19 = 1,286.71 : x
  2. Step 2: Convert to fraction form
    4,749.46/7,124.19 = 1,286.71/x
  3. Step 3: Cross multiply
    4,749.46x = 7,124.19 × 1,286.71
  4. Step 4: Simplify right side
    4,749.46x = 9,166,742.67
  5. Step 5: Solve for x
    x = 9,166,742.67/4,749.46
  6. Step 6: Final answer
    x = 1,930.06

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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.