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Finding the Fourth Proportional to 3,323.68, 4,589.12 and 2,664.16

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Solution

The fourth proportional to 3,323.68, 4,589.12 and 2,664.16 is: 3,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.68 : 4,589.12 = 2,664.16 : x
  2. Step 2: Convert to fraction form
    3,323.68/4,589.12 = 2,664.16/x
  3. Step 3: Cross multiply
    3,323.68x = 4,589.12 × 2,664.16
  4. Step 4: Simplify right side
    3,323.68x = 12,226,149.94
  5. Step 5: Solve for x
    x = 12,226,149.94/3,323.68
  6. Step 6: Final answer
    x = 3,678.50

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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.