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Finding the Fourth Proportional to 4,761.56, 7,145.28 and 2,296.62

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Solution

The fourth proportional to 4,761.56, 7,145.28 and 2,296.62 is: 3,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.56 : 7,145.28 = 2,296.62 : x
  2. Step 2: Convert to fraction form
    4,761.56/7,145.28 = 2,296.62/x
  3. Step 3: Cross multiply
    4,761.56x = 7,145.28 × 2,296.62
  4. Step 4: Simplify right side
    4,761.56x = 16,409,992.95
  5. Step 5: Solve for x
    x = 16,409,992.95/4,761.56
  6. Step 6: Final answer
    x = 3,446.35

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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.