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Finding the Fourth Proportional to 4,509.76, 6,763.41 and 2,168.14

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Solution

The fourth proportional to 4,509.76, 6,763.41 and 2,168.14 is: 3,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.76 : 6,763.41 = 2,168.14 : x
  2. Step 2: Convert to fraction form
    4,509.76/6,763.41 = 2,168.14/x
  3. Step 3: Cross multiply
    4,509.76x = 6,763.41 × 2,168.14
  4. Step 4: Simplify right side
    4,509.76x = 14,664,019.76
  5. Step 5: Solve for x
    x = 14,664,019.76/4,509.76
  6. Step 6: Final answer
    x = 3,251.62

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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.