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Finding the Fourth Proportional to 4,873, 6,724.74 and 3,010

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Solution

The fourth proportional to 4,873, 6,724.74 and 3,010 is: 4,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873 : 6,724.74 = 3,010 : x
  2. Step 2: Convert to fraction form
    4,873/6,724.74 = 3,010/x
  3. Step 3: Cross multiply
    4,873x = 6,724.74 × 3,010
  4. Step 4: Simplify right side
    4,873x = 20,241,467.40
  5. Step 5: Solve for x
    x = 20,241,467.40/4,873
  6. Step 6: Final answer
    x = 4,153.80

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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.