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Finding the Fourth Proportional to 5,851.84, 8,765.46 and 2,734.48

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Solution

The fourth proportional to 5,851.84, 8,765.46 and 2,734.48 is: 4,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.84 : 8,765.46 = 2,734.48 : x
  2. Step 2: Convert to fraction form
    5,851.84/8,765.46 = 2,734.48/x
  3. Step 3: Cross multiply
    5,851.84x = 8,765.46 × 2,734.48
  4. Step 4: Simplify right side
    5,851.84x = 23,968,975.06
  5. Step 5: Solve for x
    x = 23,968,975.06/5,851.84
  6. Step 6: Final answer
    x = 4,095.97

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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.