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Finding the Fourth Proportional to 3,681.42, 5,072.67 and 2,500.44

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Solution

The fourth proportional to 3,681.42, 5,072.67 and 2,500.44 is: 3,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.42 : 5,072.67 = 2,500.44 : x
  2. Step 2: Convert to fraction form
    3,681.42/5,072.67 = 2,500.44/x
  3. Step 3: Cross multiply
    3,681.42x = 5,072.67 × 2,500.44
  4. Step 4: Simplify right side
    3,681.42x = 12,683,906.97
  5. Step 5: Solve for x
    x = 12,683,906.97/3,681.42
  6. Step 6: Final answer
    x = 3,445.38

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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.