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Finding the Fourth Proportional to 4,709.56, 6,507.66 and 3,380.94

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Solution

The fourth proportional to 4,709.56, 6,507.66 and 3,380.94 is: 4,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.56 : 6,507.66 = 3,380.94 : x
  2. Step 2: Convert to fraction form
    4,709.56/6,507.66 = 3,380.94/x
  3. Step 3: Cross multiply
    4,709.56x = 6,507.66 × 3,380.94
  4. Step 4: Simplify right side
    4,709.56x = 22,002,008.00
  5. Step 5: Solve for x
    x = 22,002,008.00/4,709.56
  6. Step 6: Final answer
    x = 4,671.78

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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.