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Finding the Fourth Proportional to 4,489.68, 6,725.40 and 3,323.16

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Solution

The fourth proportional to 4,489.68, 6,725.40 and 3,323.16 is: 4,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.68 : 6,725.40 = 3,323.16 : x
  2. Step 2: Convert to fraction form
    4,489.68/6,725.40 = 3,323.16/x
  3. Step 3: Cross multiply
    4,489.68x = 6,725.40 × 3,323.16
  4. Step 4: Simplify right side
    4,489.68x = 22,349,580.26
  5. Step 5: Solve for x
    x = 22,349,580.26/4,489.68
  6. Step 6: Final answer
    x = 4,977.99

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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.