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Finding the Fourth Proportional to 5,193.81, 7,167.47 and 2,835.99

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Solution

The fourth proportional to 5,193.81, 7,167.47 and 2,835.99 is: 3,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.81 : 7,167.47 = 2,835.99 : x
  2. Step 2: Convert to fraction form
    5,193.81/7,167.47 = 2,835.99/x
  3. Step 3: Cross multiply
    5,193.81x = 7,167.47 × 2,835.99
  4. Step 4: Simplify right side
    5,193.81x = 20,326,859.07
  5. Step 5: Solve for x
    x = 20,326,859.07/5,193.81
  6. Step 6: Final answer
    x = 3,913.67

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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.