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Finding the Fourth Proportional to 3,850.37, 5,775.42 and 1,077.02

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Solution

The fourth proportional to 3,850.37, 5,775.42 and 1,077.02 is: 1,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.37 : 5,775.42 = 1,077.02 : x
  2. Step 2: Convert to fraction form
    3,850.37/5,775.42 = 1,077.02/x
  3. Step 3: Cross multiply
    3,850.37x = 5,775.42 × 1,077.02
  4. Step 4: Simplify right side
    3,850.37x = 6,220,242.85
  5. Step 5: Solve for x
    x = 6,220,242.85/3,850.37
  6. Step 6: Final answer
    x = 1,615.49

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1.5x scale

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.