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Finding the Fourth Proportional to 5,193.77, 7,167.38 and 2,835.90

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Solution

The fourth proportional to 5,193.77, 7,167.38 and 2,835.90 is: 3,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.77 : 7,167.38 = 2,835.90 : x
  2. Step 2: Convert to fraction form
    5,193.77/7,167.38 = 2,835.90/x
  3. Step 3: Cross multiply
    5,193.77x = 7,167.38 × 2,835.90
  4. Step 4: Simplify right side
    5,193.77x = 20,325,980.03
  5. Step 5: Solve for x
    x = 20,325,980.03/5,193.77
  6. Step 6: Final answer
    x = 3,913.53

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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.