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Finding the Fourth Proportional to 3,286.21, 4,925.04 and 1,722.26

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Solution

The fourth proportional to 3,286.21, 4,925.04 and 1,722.26 is: 2,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.21 : 4,925.04 = 1,722.26 : x
  2. Step 2: Convert to fraction form
    3,286.21/4,925.04 = 1,722.26/x
  3. Step 3: Cross multiply
    3,286.21x = 4,925.04 × 1,722.26
  4. Step 4: Simplify right side
    3,286.21x = 8,482,199.39
  5. Step 5: Solve for x
    x = 8,482,199.39/3,286.21
  6. Step 6: Final answer
    x = 2,581.15

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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.