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Finding the Fourth Proportional to 3,757.99, 5,635.97 and 1,416.50

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Solution

The fourth proportional to 3,757.99, 5,635.97 and 1,416.50 is: 2,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.99 : 5,635.97 = 1,416.50 : x
  2. Step 2: Convert to fraction form
    3,757.99/5,635.97 = 1,416.50/x
  3. Step 3: Cross multiply
    3,757.99x = 5,635.97 × 1,416.50
  4. Step 4: Simplify right side
    3,757.99x = 7,983,316.24
  5. Step 5: Solve for x
    x = 7,983,316.24/3,757.99
  6. Step 6: Final answer
    x = 2,124.36

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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.