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Finding the Fourth Proportional to 6,287, 8,677.60 and 3,634.02

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Solution

The fourth proportional to 6,287, 8,677.60 and 3,634.02 is: 5,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287 : 8,677.60 = 3,634.02 : x
  2. Step 2: Convert to fraction form
    6,287/8,677.60 = 3,634.02/x
  3. Step 3: Cross multiply
    6,287x = 8,677.60 × 3,634.02
  4. Step 4: Simplify right side
    6,287x = 31,534,571.95
  5. Step 5: Solve for x
    x = 31,534,571.95/6,287
  6. Step 6: Final answer
    x = 5,015.84

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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.