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Finding the Fourth Proportional to 4,683.27, 7,018.85 and 1,906.71

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Solution

The fourth proportional to 4,683.27, 7,018.85 and 1,906.71 is: 2,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.27 : 7,018.85 = 1,906.71 : x
  2. Step 2: Convert to fraction form
    4,683.27/7,018.85 = 1,906.71/x
  3. Step 3: Cross multiply
    4,683.27x = 7,018.85 × 1,906.71
  4. Step 4: Simplify right side
    4,683.27x = 13,382,901.95
  5. Step 5: Solve for x
    x = 13,382,901.95/4,683.27
  6. Step 6: Final answer
    x = 2,857.60

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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.