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Finding the Fourth Proportional to 4,604.23, 6,349.06 and 3,259.22

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Solution

The fourth proportional to 4,604.23, 6,349.06 and 3,259.22 is: 4,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.23 : 6,349.06 = 3,259.22 : x
  2. Step 2: Convert to fraction form
    4,604.23/6,349.06 = 3,259.22/x
  3. Step 3: Cross multiply
    4,604.23x = 6,349.06 × 3,259.22
  4. Step 4: Simplify right side
    4,604.23x = 20,692,983.33
  5. Step 5: Solve for x
    x = 20,692,983.33/4,604.23
  6. Step 6: Final answer
    x = 4,494.34

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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.