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Finding the Fourth Proportional to 4,028.64, 5,554.82 and 3,779.56

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Solution

The fourth proportional to 4,028.64, 5,554.82 and 3,779.56 is: 5,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028.64 : 5,554.82 = 3,779.56 : x
  2. Step 2: Convert to fraction form
    4,028.64/5,554.82 = 3,779.56/x
  3. Step 3: Cross multiply
    4,028.64x = 5,554.82 × 3,779.56
  4. Step 4: Simplify right side
    4,028.64x = 20,994,775.48
  5. Step 5: Solve for x
    x = 20,994,775.48/4,028.64
  6. Step 6: Final answer
    x = 5,211.38

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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.