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Finding the Fourth Proportional to 5,145.22, 7,704.16 and 4,098.20

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Solution

The fourth proportional to 5,145.22, 7,704.16 and 4,098.20 is: 6,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.22 : 7,704.16 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    5,145.22/7,704.16 = 4,098.20/x
  3. Step 3: Cross multiply
    5,145.22x = 7,704.16 × 4,098.20
  4. Step 4: Simplify right side
    5,145.22x = 31,573,162.80
  5. Step 5: Solve for x
    x = 31,573,162.80/5,145.22
  6. Step 6: Final answer
    x = 6,136.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.