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Finding the Fourth Proportional to 4,843.80, 6,684.44 and 2,854.36

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Solution

The fourth proportional to 4,843.80, 6,684.44 and 2,854.36 is: 3,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.80 : 6,684.44 = 2,854.36 : x
  2. Step 2: Convert to fraction form
    4,843.80/6,684.44 = 2,854.36/x
  3. Step 3: Cross multiply
    4,843.80x = 6,684.44 × 2,854.36
  4. Step 4: Simplify right side
    4,843.80x = 19,079,798.16
  5. Step 5: Solve for x
    x = 19,079,798.16/4,843.80
  6. Step 6: Final answer
    x = 3,939.01

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