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Finding the Fourth Proportional to 3,524.60, 5,286.89 and 1,444.60

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Solution

The fourth proportional to 3,524.60, 5,286.89 and 1,444.60 is: 2,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.60 : 5,286.89 = 1,444.60 : x
  2. Step 2: Convert to fraction form
    3,524.60/5,286.89 = 1,444.60/x
  3. Step 3: Cross multiply
    3,524.60x = 5,286.89 × 1,444.60
  4. Step 4: Simplify right side
    3,524.60x = 7,637,457.59
  5. Step 5: Solve for x
    x = 7,637,457.59/3,524.60
  6. Step 6: Final answer
    x = 2,166.90

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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.