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Finding the Fourth Proportional to 5,094, 7,029.99 and 2,998.80

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Solution

The fourth proportional to 5,094, 7,029.99 and 2,998.80 is: 4,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094 : 7,029.99 = 2,998.80 : x
  2. Step 2: Convert to fraction form
    5,094/7,029.99 = 2,998.80/x
  3. Step 3: Cross multiply
    5,094x = 7,029.99 × 2,998.80
  4. Step 4: Simplify right side
    5,094x = 21,081,534.01
  5. Step 5: Solve for x
    x = 21,081,534.01/5,094
  6. Step 6: Final answer
    x = 4,138.50

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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.