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Finding the Fourth Proportional to 4,544.44, 6,821.44 and 4,027.76

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Solution

The fourth proportional to 4,544.44, 6,821.44 and 4,027.76 is: 6,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.44 : 6,821.44 = 4,027.76 : x
  2. Step 2: Convert to fraction form
    4,544.44/6,821.44 = 4,027.76/x
  3. Step 3: Cross multiply
    4,544.44x = 6,821.44 × 4,027.76
  4. Step 4: Simplify right side
    4,544.44x = 27,475,123.17
  5. Step 5: Solve for x
    x = 27,475,123.17/4,544.44
  6. Step 6: Final answer
    x = 6,045.88

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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.