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Finding the Fourth Proportional to 3,484.68, 5,225.94 and 1,727.88

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Solution

The fourth proportional to 3,484.68, 5,225.94 and 1,727.88 is: 2,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.68 : 5,225.94 = 1,727.88 : x
  2. Step 2: Convert to fraction form
    3,484.68/5,225.94 = 1,727.88/x
  3. Step 3: Cross multiply
    3,484.68x = 5,225.94 × 1,727.88
  4. Step 4: Simplify right side
    3,484.68x = 9,029,797.21
  5. Step 5: Solve for x
    x = 9,029,797.21/3,484.68
  6. Step 6: Final answer
    x = 2,591.28

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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.