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Finding the Fourth Proportional to 4,664.26, 6,437.07 and 2,568.78

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Solution

The fourth proportional to 4,664.26, 6,437.07 and 2,568.78 is: 3,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.26 : 6,437.07 = 2,568.78 : x
  2. Step 2: Convert to fraction form
    4,664.26/6,437.07 = 2,568.78/x
  3. Step 3: Cross multiply
    4,664.26x = 6,437.07 × 2,568.78
  4. Step 4: Simplify right side
    4,664.26x = 16,535,416.67
  5. Step 5: Solve for x
    x = 16,535,416.67/4,664.26
  6. Step 6: Final answer
    x = 3,545.13

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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.