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Finding the Fourth Proportional to 4,321.47, 5,964.21 and 2,433.43

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Solution

The fourth proportional to 4,321.47, 5,964.21 and 2,433.43 is: 3,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.47 : 5,964.21 = 2,433.43 : x
  2. Step 2: Convert to fraction form
    4,321.47/5,964.21 = 2,433.43/x
  3. Step 3: Cross multiply
    4,321.47x = 5,964.21 × 2,433.43
  4. Step 4: Simplify right side
    4,321.47x = 14,513,487.54
  5. Step 5: Solve for x
    x = 14,513,487.54/4,321.47
  6. Step 6: Final answer
    x = 3,358.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.