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Finding the Fourth Proportional to 6,361.82, 8,779.38 and 3,529.24

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Solution

The fourth proportional to 6,361.82, 8,779.38 and 3,529.24 is: 4,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.82 : 8,779.38 = 3,529.24 : x
  2. Step 2: Convert to fraction form
    6,361.82/8,779.38 = 3,529.24/x
  3. Step 3: Cross multiply
    6,361.82x = 8,779.38 × 3,529.24
  4. Step 4: Simplify right side
    6,361.82x = 30,984,539.07
  5. Step 5: Solve for x
    x = 30,984,539.07/6,361.82
  6. Step 6: Final answer
    x = 4,870.39

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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.