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Finding the Fourth Proportional to 5,805.78, 8,018.60 and 3,825.12

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Solution

The fourth proportional to 5,805.78, 8,018.60 and 3,825.12 is: 5,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.78 : 8,018.60 = 3,825.12 : x
  2. Step 2: Convert to fraction form
    5,805.78/8,018.60 = 3,825.12/x
  3. Step 3: Cross multiply
    5,805.78x = 8,018.60 × 3,825.12
  4. Step 4: Simplify right side
    5,805.78x = 30,672,118.18
  5. Step 5: Solve for x
    x = 30,672,118.18/5,805.78
  6. Step 6: Final answer
    x = 5,283.03

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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.