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Finding the Fourth Proportional to 4,900.56, 6,770.37 and 4,863.66

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Solution

The fourth proportional to 4,900.56, 6,770.37 and 4,863.66 is: 6,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.56 : 6,770.37 = 4,863.66 : x
  2. Step 2: Convert to fraction form
    4,900.56/6,770.37 = 4,863.66/x
  3. Step 3: Cross multiply
    4,900.56x = 6,770.37 × 4,863.66
  4. Step 4: Simplify right side
    4,900.56x = 32,928,777.75
  5. Step 5: Solve for x
    x = 32,928,777.75/4,900.56
  6. Step 6: Final answer
    x = 6,719.39

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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.