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Finding the Fourth Proportional to 3,300.89, 4,951.50 and 835.73

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Solution

The fourth proportional to 3,300.89, 4,951.50 and 835.73 is: 1,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.89 : 4,951.50 = 835.73 : x
  2. Step 2: Convert to fraction form
    3,300.89/4,951.50 = 835.73/x
  3. Step 3: Cross multiply
    3,300.89x = 4,951.50 × 835.73
  4. Step 4: Simplify right side
    3,300.89x = 4,138,117.10
  5. Step 5: Solve for x
    x = 4,138,117.10/3,300.89
  6. Step 6: Final answer
    x = 1,253.64

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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.