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Finding the Fourth Proportional to 3,765.66, 5,648.99 and 1,393.42

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Solution

The fourth proportional to 3,765.66, 5,648.99 and 1,393.42 is: 2,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.66 : 5,648.99 = 1,393.42 : x
  2. Step 2: Convert to fraction form
    3,765.66/5,648.99 = 1,393.42/x
  3. Step 3: Cross multiply
    3,765.66x = 5,648.99 × 1,393.42
  4. Step 4: Simplify right side
    3,765.66x = 7,871,380.43
  5. Step 5: Solve for x
    x = 7,871,380.43/3,765.66
  6. Step 6: Final answer
    x = 2,090.31

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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.