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Finding the Fourth Proportional to 4,773.52, 7,146.37 and 3,546.37

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Solution

The fourth proportional to 4,773.52, 7,146.37 and 3,546.37 is: 5,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.52 : 7,146.37 = 3,546.37 : x
  2. Step 2: Convert to fraction form
    4,773.52/7,146.37 = 3,546.37/x
  3. Step 3: Cross multiply
    4,773.52x = 7,146.37 × 3,546.37
  4. Step 4: Simplify right side
    4,773.52x = 25,343,672.18
  5. Step 5: Solve for x
    x = 25,343,672.18/4,773.52
  6. Step 6: Final answer
    x = 5,309.22

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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.