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Finding the Fourth Proportional to 5,782.88, 8,675.62 and 1,834.38

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Solution

The fourth proportional to 5,782.88, 8,675.62 and 1,834.38 is: 2,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 8,675.62 = 1,834.38 : x
  2. Step 2: Convert to fraction form
    5,782.88/8,675.62 = 1,834.38/x
  3. Step 3: Cross multiply
    5,782.88x = 8,675.62 × 1,834.38
  4. Step 4: Simplify right side
    5,782.88x = 15,914,383.82
  5. Step 5: Solve for x
    x = 15,914,383.82/5,782.88
  6. Step 6: Final answer
    x = 2,751.98

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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.