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Finding the Fourth Proportional to 4,749.57, 7,124.36 and 1,286.82

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Solution

The fourth proportional to 4,749.57, 7,124.36 and 1,286.82 is: 1,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.57 : 7,124.36 = 1,286.82 : x
  2. Step 2: Convert to fraction form
    4,749.57/7,124.36 = 1,286.82/x
  3. Step 3: Cross multiply
    4,749.57x = 7,124.36 × 1,286.82
  4. Step 4: Simplify right side
    4,749.57x = 9,167,762.50
  5. Step 5: Solve for x
    x = 9,167,762.50/4,749.57
  6. Step 6: Final answer
    x = 1,930.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.