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Finding the Fourth Proportional to 6,334.35, 8,741.80 and 3,646.47

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Solution

The fourth proportional to 6,334.35, 8,741.80 and 3,646.47 is: 5,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.35 : 8,741.80 = 3,646.47 : x
  2. Step 2: Convert to fraction form
    6,334.35/8,741.80 = 3,646.47/x
  3. Step 3: Cross multiply
    6,334.35x = 8,741.80 × 3,646.47
  4. Step 4: Simplify right side
    6,334.35x = 31,876,711.45
  5. Step 5: Solve for x
    x = 31,876,711.45/6,334.35
  6. Step 6: Final answer
    x = 5,032.36

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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.