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Finding the Fourth Proportional to 6,403.36, 8,834.34 and 3,749.80

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Solution

The fourth proportional to 6,403.36, 8,834.34 and 3,749.80 is: 5,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.36 : 8,834.34 = 3,749.80 : x
  2. Step 2: Convert to fraction form
    6,403.36/8,834.34 = 3,749.80/x
  3. Step 3: Cross multiply
    6,403.36x = 8,834.34 × 3,749.80
  4. Step 4: Simplify right side
    6,403.36x = 33,127,008.13
  5. Step 5: Solve for x
    x = 33,127,008.13/6,403.36
  6. Step 6: Final answer
    x = 5,173.38

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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.