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Finding the Fourth Proportional to 4,178.99, 5,764.96 and 3,515.60

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Solution

The fourth proportional to 4,178.99, 5,764.96 and 3,515.60 is: 4,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.99 : 5,764.96 = 3,515.60 : x
  2. Step 2: Convert to fraction form
    4,178.99/5,764.96 = 3,515.60/x
  3. Step 3: Cross multiply
    4,178.99x = 5,764.96 × 3,515.60
  4. Step 4: Simplify right side
    4,178.99x = 20,267,293.38
  5. Step 5: Solve for x
    x = 20,267,293.38/4,178.99
  6. Step 6: Final answer
    x = 4,849.81

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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.