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Finding the Fourth Proportional to 4,089.74, 6,136.32 and 2,143.22

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Solution

The fourth proportional to 4,089.74, 6,136.32 and 2,143.22 is: 3,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.74 : 6,136.32 = 2,143.22 : x
  2. Step 2: Convert to fraction form
    4,089.74/6,136.32 = 2,143.22/x
  3. Step 3: Cross multiply
    4,089.74x = 6,136.32 × 2,143.22
  4. Step 4: Simplify right side
    4,089.74x = 13,151,483.75
  5. Step 5: Solve for x
    x = 13,151,483.75/4,089.74
  6. Step 6: Final answer
    x = 3,215.73

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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.