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Finding the Fourth Proportional to 3,853.81, 5,318.22 and 2,085.38

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Solution

The fourth proportional to 3,853.81, 5,318.22 and 2,085.38 is: 2,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.81 : 5,318.22 = 2,085.38 : x
  2. Step 2: Convert to fraction form
    3,853.81/5,318.22 = 2,085.38/x
  3. Step 3: Cross multiply
    3,853.81x = 5,318.22 × 2,085.38
  4. Step 4: Simplify right side
    3,853.81x = 11,090,509.62
  5. Step 5: Solve for x
    x = 11,090,509.62/3,853.81
  6. Step 6: Final answer
    x = 2,877.80

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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.