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Finding the Fourth Proportional to 2,806.39, 3,872.78 and 1,547.42

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Solution

The fourth proportional to 2,806.39, 3,872.78 and 1,547.42 is: 2,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.39 : 3,872.78 = 1,547.42 : x
  2. Step 2: Convert to fraction form
    2,806.39/3,872.78 = 1,547.42/x
  3. Step 3: Cross multiply
    2,806.39x = 3,872.78 × 1,547.42
  4. Step 4: Simplify right side
    2,806.39x = 5,992,801.73
  5. Step 5: Solve for x
    x = 5,992,801.73/2,806.39
  6. Step 6: Final answer
    x = 2,135.41

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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.