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Finding the Fourth Proportional to 4,344.49, 6,509.17 and 2,261.31

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Solution

The fourth proportional to 4,344.49, 6,509.17 and 2,261.31 is: 3,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.49 : 6,509.17 = 2,261.31 : x
  2. Step 2: Convert to fraction form
    4,344.49/6,509.17 = 2,261.31/x
  3. Step 3: Cross multiply
    4,344.49x = 6,509.17 × 2,261.31
  4. Step 4: Simplify right side
    4,344.49x = 14,719,251.21
  5. Step 5: Solve for x
    x = 14,719,251.21/4,344.49
  6. Step 6: Final answer
    x = 3,388.03

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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.