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Finding the Fourth Proportional to 3,617.70, 5,421.33 and 3,226.74

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Solution

The fourth proportional to 3,617.70, 5,421.33 and 3,226.74 is: 4,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.70 : 5,421.33 = 3,226.74 : x
  2. Step 2: Convert to fraction form
    3,617.70/5,421.33 = 3,226.74/x
  3. Step 3: Cross multiply
    3,617.70x = 5,421.33 × 3,226.74
  4. Step 4: Simplify right side
    3,617.70x = 17,493,222.36
  5. Step 5: Solve for x
    x = 17,493,222.36/3,617.70
  6. Step 6: Final answer
    x = 4,835.45

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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.