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Finding the Fourth Proportional to 6,704.40, 10,061.40 and 3,779.60

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Solution

The fourth proportional to 6,704.40, 10,061.40 and 3,779.60 is: 5,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.40 : 10,061.40 = 3,779.60 : x
  2. Step 2: Convert to fraction form
    6,704.40/10,061.40 = 3,779.60/x
  3. Step 3: Cross multiply
    6,704.40x = 10,061.40 × 3,779.60
  4. Step 4: Simplify right side
    6,704.40x = 38,028,067.44
  5. Step 5: Solve for x
    x = 38,028,067.44/6,704.40
  6. Step 6: Final answer
    x = 5,672.11

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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.