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Finding the Fourth Proportional to 3,889.12, 5,834.56 and 1,292.16

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Solution

The fourth proportional to 3,889.12, 5,834.56 and 1,292.16 is: 1,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.12 : 5,834.56 = 1,292.16 : x
  2. Step 2: Convert to fraction form
    3,889.12/5,834.56 = 1,292.16/x
  3. Step 3: Cross multiply
    3,889.12x = 5,834.56 × 1,292.16
  4. Step 4: Simplify right side
    3,889.12x = 7,539,185.05
  5. Step 5: Solve for x
    x = 7,539,185.05/3,889.12
  6. Step 6: Final answer
    x = 1,938.53

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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.