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Finding the Fourth Proportional to 5,941.54, 8,911.90 and 2,048.68

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Solution

The fourth proportional to 5,941.54, 8,911.90 and 2,048.68 is: 3,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.54 : 8,911.90 = 2,048.68 : x
  2. Step 2: Convert to fraction form
    5,941.54/8,911.90 = 2,048.68/x
  3. Step 3: Cross multiply
    5,941.54x = 8,911.90 × 2,048.68
  4. Step 4: Simplify right side
    5,941.54x = 18,257,631.29
  5. Step 5: Solve for x
    x = 18,257,631.29/5,941.54
  6. Step 6: Final answer
    x = 3,072.88

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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.