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Finding the Fourth Proportional to 4,877.68, 6,729.37 and 3,200.02

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Solution

The fourth proportional to 4,877.68, 6,729.37 and 3,200.02 is: 4,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.68 : 6,729.37 = 3,200.02 : x
  2. Step 2: Convert to fraction form
    4,877.68/6,729.37 = 3,200.02/x
  3. Step 3: Cross multiply
    4,877.68x = 6,729.37 × 3,200.02
  4. Step 4: Simplify right side
    4,877.68x = 21,534,118.59
  5. Step 5: Solve for x
    x = 21,534,118.59/4,877.68
  6. Step 6: Final answer
    x = 4,414.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.