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Finding the Fourth Proportional to 5,876.96, 8,815.48 and 1,494.42

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Solution

The fourth proportional to 5,876.96, 8,815.48 and 1,494.42 is: 2,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.96 : 8,815.48 = 1,494.42 : x
  2. Step 2: Convert to fraction form
    5,876.96/8,815.48 = 1,494.42/x
  3. Step 3: Cross multiply
    5,876.96x = 8,815.48 × 1,494.42
  4. Step 4: Simplify right side
    5,876.96x = 13,174,022.15
  5. Step 5: Solve for x
    x = 13,174,022.15/5,876.96
  6. Step 6: Final answer
    x = 2,241.64

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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.