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Finding the Fourth Proportional to 4,755.24, 7,132.86 and 1,468.26

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Solution

The fourth proportional to 4,755.24, 7,132.86 and 1,468.26 is: 2,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.24 : 7,132.86 = 1,468.26 : x
  2. Step 2: Convert to fraction form
    4,755.24/7,132.86 = 1,468.26/x
  3. Step 3: Cross multiply
    4,755.24x = 7,132.86 × 1,468.26
  4. Step 4: Simplify right side
    4,755.24x = 10,472,893.02
  5. Step 5: Solve for x
    x = 10,472,893.02/4,755.24
  6. Step 6: Final answer
    x = 2,202.39

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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.