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Finding the Fourth Proportional to 3,830.93, 5,745.48 and 1,057.54

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Solution

The fourth proportional to 3,830.93, 5,745.48 and 1,057.54 is: 1,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.93 : 5,745.48 = 1,057.54 : x
  2. Step 2: Convert to fraction form
    3,830.93/5,745.48 = 1,057.54/x
  3. Step 3: Cross multiply
    3,830.93x = 5,745.48 × 1,057.54
  4. Step 4: Simplify right side
    3,830.93x = 6,076,073.31
  5. Step 5: Solve for x
    x = 6,076,073.31/3,830.93
  6. Step 6: Final answer
    x = 1,586.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.