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Finding the Fourth Proportional to 3,942.99, 5,907.53 and 3,513.96

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Solution

The fourth proportional to 3,942.99, 5,907.53 and 3,513.96 is: 5,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.99 : 5,907.53 = 3,513.96 : x
  2. Step 2: Convert to fraction form
    3,942.99/5,907.53 = 3,513.96/x
  3. Step 3: Cross multiply
    3,942.99x = 5,907.53 × 3,513.96
  4. Step 4: Simplify right side
    3,942.99x = 20,758,806.55
  5. Step 5: Solve for x
    x = 20,758,806.55/3,942.99
  6. Step 6: Final answer
    x = 5,264.74

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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.