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Finding the Fourth Proportional to 3,941.88, 5,899.86 and 3,509.88

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Solution

The fourth proportional to 3,941.88, 5,899.86 and 3,509.88 is: 5,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.88 : 5,899.86 = 3,509.88 : x
  2. Step 2: Convert to fraction form
    3,941.88/5,899.86 = 3,509.88/x
  3. Step 3: Cross multiply
    3,941.88x = 5,899.86 × 3,509.88
  4. Step 4: Simplify right side
    3,941.88x = 20,707,800.62
  5. Step 5: Solve for x
    x = 20,707,800.62/3,941.88
  6. Step 6: Final answer
    x = 5,253.28

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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.