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Finding the Fourth Proportional to 4,659.26, 6,429.71 and 3,469.56

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Solution

The fourth proportional to 4,659.26, 6,429.71 and 3,469.56 is: 4,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.26 : 6,429.71 = 3,469.56 : x
  2. Step 2: Convert to fraction form
    4,659.26/6,429.71 = 3,469.56/x
  3. Step 3: Cross multiply
    4,659.26x = 6,429.71 × 3,469.56
  4. Step 4: Simplify right side
    4,659.26x = 22,308,285.36
  5. Step 5: Solve for x
    x = 22,308,285.36/4,659.26
  6. Step 6: Final answer
    x = 4,787.95

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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.