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Finding the Fourth Proportional to 4,664.52, 6,436.80 and 2,568.78

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Solution

The fourth proportional to 4,664.52, 6,436.80 and 2,568.78 is: 3,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.52 : 6,436.80 = 2,568.78 : x
  2. Step 2: Convert to fraction form
    4,664.52/6,436.80 = 2,568.78/x
  3. Step 3: Cross multiply
    4,664.52x = 6,436.80 × 2,568.78
  4. Step 4: Simplify right side
    4,664.52x = 16,534,723.10
  5. Step 5: Solve for x
    x = 16,534,723.10/4,664.52
  6. Step 6: Final answer
    x = 3,544.79

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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.