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Finding the Fourth Proportional to 4,397.94, 6,069.16 and 2,381.37

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Solution

The fourth proportional to 4,397.94, 6,069.16 and 2,381.37 is: 3,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.94 : 6,069.16 = 2,381.37 : x
  2. Step 2: Convert to fraction form
    4,397.94/6,069.16 = 2,381.37/x
  3. Step 3: Cross multiply
    4,397.94x = 6,069.16 × 2,381.37
  4. Step 4: Simplify right side
    4,397.94x = 14,452,929.91
  5. Step 5: Solve for x
    x = 14,452,929.91/4,397.94
  6. Step 6: Final answer
    x = 3,286.30

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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.