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Finding the Fourth Proportional to 5,295.84, 7,947.42 and 1,833.09

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Solution

The fourth proportional to 5,295.84, 7,947.42 and 1,833.09 is: 2,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.84 : 7,947.42 = 1,833.09 : x
  2. Step 2: Convert to fraction form
    5,295.84/7,947.42 = 1,833.09/x
  3. Step 3: Cross multiply
    5,295.84x = 7,947.42 × 1,833.09
  4. Step 4: Simplify right side
    5,295.84x = 14,568,336.13
  5. Step 5: Solve for x
    x = 14,568,336.13/5,295.84
  6. Step 6: Final answer
    x = 2,750.90

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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.