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Finding the Fourth Proportional to 4,660.52, 6,431.78 and 2,671.68

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Solution

The fourth proportional to 4,660.52, 6,431.78 and 2,671.68 is: 3,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.52 : 6,431.78 = 2,671.68 : x
  2. Step 2: Convert to fraction form
    4,660.52/6,431.78 = 2,671.68/x
  3. Step 3: Cross multiply
    4,660.52x = 6,431.78 × 2,671.68
  4. Step 4: Simplify right side
    4,660.52x = 17,183,657.99
  5. Step 5: Solve for x
    x = 17,183,657.99/4,660.52
  6. Step 6: Final answer
    x = 3,687.07

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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.