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Finding the Fourth Proportional to 5,541, 8,311.52 and 1,893

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Solution

The fourth proportional to 5,541, 8,311.52 and 1,893 is: 2,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541 : 8,311.52 = 1,893 : x
  2. Step 2: Convert to fraction form
    5,541/8,311.52 = 1,893/x
  3. Step 3: Cross multiply
    5,541x = 8,311.52 × 1,893
  4. Step 4: Simplify right side
    5,541x = 15,733,707.36
  5. Step 5: Solve for x
    x = 15,733,707.36/5,541
  6. Step 6: Final answer
    x = 2,839.51

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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.