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Finding the Fourth Proportional to 5,054, 6,974.54 and 2,846

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Solution

The fourth proportional to 5,054, 6,974.54 and 2,846 is: 3,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054 : 6,974.54 = 2,846 : x
  2. Step 2: Convert to fraction form
    5,054/6,974.54 = 2,846/x
  3. Step 3: Cross multiply
    5,054x = 6,974.54 × 2,846
  4. Step 4: Simplify right side
    5,054x = 19,849,540.84
  5. Step 5: Solve for x
    x = 19,849,540.84/5,054
  6. Step 6: Final answer
    x = 3,927.49

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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.