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Finding the Fourth Proportional to 5,971.78, 8,957.73 and 2,274.04

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Solution

The fourth proportional to 5,971.78, 8,957.73 and 2,274.04 is: 3,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.78 : 8,957.73 = 2,274.04 : x
  2. Step 2: Convert to fraction form
    5,971.78/8,957.73 = 2,274.04/x
  3. Step 3: Cross multiply
    5,971.78x = 8,957.73 × 2,274.04
  4. Step 4: Simplify right side
    5,971.78x = 20,370,236.33
  5. Step 5: Solve for x
    x = 20,370,236.33/5,971.78
  6. Step 6: Final answer
    x = 3,411.08

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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.