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Finding the Fourth Proportional to 4,612.26, 6,918.30 and 2,145.68

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Solution

The fourth proportional to 4,612.26, 6,918.30 and 2,145.68 is: 3,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.26 : 6,918.30 = 2,145.68 : x
  2. Step 2: Convert to fraction form
    4,612.26/6,918.30 = 2,145.68/x
  3. Step 3: Cross multiply
    4,612.26x = 6,918.30 × 2,145.68
  4. Step 4: Simplify right side
    4,612.26x = 14,844,457.94
  5. Step 5: Solve for x
    x = 14,844,457.94/4,612.26
  6. Step 6: Final answer
    x = 3,218.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.