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Finding the Fourth Proportional to 3,909.45, 5,864.84 and 1,444.28

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Solution

The fourth proportional to 3,909.45, 5,864.84 and 1,444.28 is: 2,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.45 : 5,864.84 = 1,444.28 : x
  2. Step 2: Convert to fraction form
    3,909.45/5,864.84 = 1,444.28/x
  3. Step 3: Cross multiply
    3,909.45x = 5,864.84 × 1,444.28
  4. Step 4: Simplify right side
    3,909.45x = 8,470,489.39
  5. Step 5: Solve for x
    x = 8,470,489.39/3,909.45
  6. Step 6: Final answer
    x = 2,166.67

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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.