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Finding the Fourth Proportional to 5,144.78, 7,671.99 and 5,098

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Solution

The fourth proportional to 5,144.78, 7,671.99 and 5,098 is: 7,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.78 : 7,671.99 = 5,098 : x
  2. Step 2: Convert to fraction form
    5,144.78/7,671.99 = 5,098/x
  3. Step 3: Cross multiply
    5,144.78x = 7,671.99 × 5,098
  4. Step 4: Simplify right side
    5,144.78x = 39,111,805.02
  5. Step 5: Solve for x
    x = 39,111,805.02/5,144.78
  6. Step 6: Final answer
    x = 7,602.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.