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Finding the Fourth Proportional to 5,926.96, 8,893.56 and 2,419.56

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Solution

The fourth proportional to 5,926.96, 8,893.56 and 2,419.56 is: 3,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.96 : 8,893.56 = 2,419.56 : x
  2. Step 2: Convert to fraction form
    5,926.96/8,893.56 = 2,419.56/x
  3. Step 3: Cross multiply
    5,926.96x = 8,893.56 × 2,419.56
  4. Step 4: Simplify right side
    5,926.96x = 21,518,502.03
  5. Step 5: Solve for x
    x = 21,518,502.03/5,926.96
  6. Step 6: Final answer
    x = 3,630.61

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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.