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Finding the Fourth Proportional to 4,509.71, 6,762.83 and 2,168.23

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Solution

The fourth proportional to 4,509.71, 6,762.83 and 2,168.23 is: 3,251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.71 : 6,762.83 = 2,168.23 : x
  2. Step 2: Convert to fraction form
    4,509.71/6,762.83 = 2,168.23/x
  3. Step 3: Cross multiply
    4,509.71x = 6,762.83 × 2,168.23
  4. Step 4: Simplify right side
    4,509.71x = 14,663,370.89
  5. Step 5: Solve for x
    x = 14,663,370.89/4,509.71
  6. Step 6: Final answer
    x = 3,251.51

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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.