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Finding the Fourth Proportional to 5,054.25, 6,974.87 and 2,846.25

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Solution

The fourth proportional to 5,054.25, 6,974.87 and 2,846.25 is: 3,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.25 : 6,974.87 = 2,846.25 : x
  2. Step 2: Convert to fraction form
    5,054.25/6,974.87 = 2,846.25/x
  3. Step 3: Cross multiply
    5,054.25x = 6,974.87 × 2,846.25
  4. Step 4: Simplify right side
    5,054.25x = 19,852,223.74
  5. Step 5: Solve for x
    x = 19,852,223.74/5,054.25
  6. Step 6: Final answer
    x = 3,927.83

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1.5x scale

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.