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Finding the Fourth Proportional to 5,940.84, 8,913.41 and 2,781.06

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Solution

The fourth proportional to 5,940.84, 8,913.41 and 2,781.06 is: 4,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.84 : 8,913.41 = 2,781.06 : x
  2. Step 2: Convert to fraction form
    5,940.84/8,913.41 = 2,781.06/x
  3. Step 3: Cross multiply
    5,940.84x = 8,913.41 × 2,781.06
  4. Step 4: Simplify right side
    5,940.84x = 24,788,728.01
  5. Step 5: Solve for x
    x = 24,788,728.01/5,940.84
  6. Step 6: Final answer
    x = 4,172.60

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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.