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Finding the Fourth Proportional to 6,884.40, 9,500.22 and 3,740.52

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Solution

The fourth proportional to 6,884.40, 9,500.22 and 3,740.52 is: 5,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.40 : 9,500.22 = 3,740.52 : x
  2. Step 2: Convert to fraction form
    6,884.40/9,500.22 = 3,740.52/x
  3. Step 3: Cross multiply
    6,884.40x = 9,500.22 × 3,740.52
  4. Step 4: Simplify right side
    6,884.40x = 35,535,762.91
  5. Step 5: Solve for x
    x = 35,535,762.91/6,884.40
  6. Step 6: Final answer
    x = 5,161.78

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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.