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Finding the Fourth Proportional to 5,115.96, 7,059.96 and 2,877.84

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Solution

The fourth proportional to 5,115.96, 7,059.96 and 2,877.84 is: 3,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.96 : 7,059.96 = 2,877.84 : x
  2. Step 2: Convert to fraction form
    5,115.96/7,059.96 = 2,877.84/x
  3. Step 3: Cross multiply
    5,115.96x = 7,059.96 × 2,877.84
  4. Step 4: Simplify right side
    5,115.96x = 20,317,403.25
  5. Step 5: Solve for x
    x = 20,317,403.25/5,115.96
  6. Step 6: Final answer
    x = 3,971.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.