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Finding the Fourth Proportional to 4,664.64, 6,436.89 and 2,568.90

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Solution

The fourth proportional to 4,664.64, 6,436.89 and 2,568.90 is: 3,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.64 : 6,436.89 = 2,568.90 : x
  2. Step 2: Convert to fraction form
    4,664.64/6,436.89 = 2,568.90/x
  3. Step 3: Cross multiply
    4,664.64x = 6,436.89 × 2,568.90
  4. Step 4: Simplify right side
    4,664.64x = 16,535,726.72
  5. Step 5: Solve for x
    x = 16,535,726.72/4,664.64
  6. Step 6: Final answer
    x = 3,544.91

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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.