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Finding the Fourth Proportional to 3,785.42, 5,223.84 and 2,129.42

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Solution

The fourth proportional to 3,785.42, 5,223.84 and 2,129.42 is: 2,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.42 : 5,223.84 = 2,129.42 : x
  2. Step 2: Convert to fraction form
    3,785.42/5,223.84 = 2,129.42/x
  3. Step 3: Cross multiply
    3,785.42x = 5,223.84 × 2,129.42
  4. Step 4: Simplify right side
    3,785.42x = 11,123,749.37
  5. Step 5: Solve for x
    x = 11,123,749.37/3,785.42
  6. Step 6: Final answer
    x = 2,938.58

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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.