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Finding the Fourth Proportional to 4,328.92, 5,972.34 and 3,546.28

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Solution

The fourth proportional to 4,328.92, 5,972.34 and 3,546.28 is: 4,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.92 : 5,972.34 = 3,546.28 : x
  2. Step 2: Convert to fraction form
    4,328.92/5,972.34 = 3,546.28/x
  3. Step 3: Cross multiply
    4,328.92x = 5,972.34 × 3,546.28
  4. Step 4: Simplify right side
    4,328.92x = 21,179,589.90
  5. Step 5: Solve for x
    x = 21,179,589.90/4,328.92
  6. Step 6: Final answer
    x = 4,892.58

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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.