Home / 3,830.64-5,745.75-1,057.33

Finding the Fourth Proportional to 3,830.64, 5,745.75 and 1,057.33

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Solution

The fourth proportional to 3,830.64, 5,745.75 and 1,057.33 is: 1,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,745.75 = 1,057.33 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,745.75 = 1,057.33/x
  3. Step 3: Cross multiply
    3,830.64x = 5,745.75 × 1,057.33
  4. Step 4: Simplify right side
    3,830.64x = 6,075,153.85
  5. Step 5: Solve for x
    x = 6,075,153.85/3,830.64
  6. Step 6: Final answer
    x = 1,585.94

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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.