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Finding the Fourth Proportional to 4,755.92, 7,132.08 and 2,290.16

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Solution

The fourth proportional to 4,755.92, 7,132.08 and 2,290.16 is: 3,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.92 : 7,132.08 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    4,755.92/7,132.08 = 2,290.16/x
  3. Step 3: Cross multiply
    4,755.92x = 7,132.08 × 2,290.16
  4. Step 4: Simplify right side
    4,755.92x = 16,333,604.33
  5. Step 5: Solve for x
    x = 16,333,604.33/4,755.92
  6. Step 6: Final answer
    x = 3,434.37

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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.