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Finding the Fourth Proportional to 4,843.48, 6,683.94 and 2,854.12

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Solution

The fourth proportional to 4,843.48, 6,683.94 and 2,854.12 is: 3,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.48 : 6,683.94 = 2,854.12 : x
  2. Step 2: Convert to fraction form
    4,843.48/6,683.94 = 2,854.12/x
  3. Step 3: Cross multiply
    4,843.48x = 6,683.94 × 2,854.12
  4. Step 4: Simplify right side
    4,843.48x = 19,076,766.83
  5. Step 5: Solve for x
    x = 19,076,766.83/4,843.48
  6. Step 6: Final answer
    x = 3,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.