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Finding the Fourth Proportional to 3,812.86, 5,714.79 and 1,621

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Solution

The fourth proportional to 3,812.86, 5,714.79 and 1,621 is: 2,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.86 : 5,714.79 = 1,621 : x
  2. Step 2: Convert to fraction form
    3,812.86/5,714.79 = 1,621/x
  3. Step 3: Cross multiply
    3,812.86x = 5,714.79 × 1,621
  4. Step 4: Simplify right side
    3,812.86x = 9,263,674.59
  5. Step 5: Solve for x
    x = 9,263,674.59/3,812.86
  6. Step 6: Final answer
    x = 2,429.59

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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.