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Finding the Fourth Proportional to 3,834.50, 5,753.10 and 1,888.07

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Solution

The fourth proportional to 3,834.50, 5,753.10 and 1,888.07 is: 2,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.50 : 5,753.10 = 1,888.07 : x
  2. Step 2: Convert to fraction form
    3,834.50/5,753.10 = 1,888.07/x
  3. Step 3: Cross multiply
    3,834.50x = 5,753.10 × 1,888.07
  4. Step 4: Simplify right side
    3,834.50x = 10,862,255.52
  5. Step 5: Solve for x
    x = 10,862,255.52/3,834.50
  6. Step 6: Final answer
    x = 2,832.77

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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.