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Finding the Fourth Proportional to 5,784.62, 8,675.14 and 2,086.38

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Solution

The fourth proportional to 5,784.62, 8,675.14 and 2,086.38 is: 3,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.62 : 8,675.14 = 2,086.38 : x
  2. Step 2: Convert to fraction form
    5,784.62/8,675.14 = 2,086.38/x
  3. Step 3: Cross multiply
    5,784.62x = 8,675.14 × 2,086.38
  4. Step 4: Simplify right side
    5,784.62x = 18,099,595.22
  5. Step 5: Solve for x
    x = 18,099,595.22/5,784.62
  6. Step 6: Final answer
    x = 3,128.92

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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.