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Finding the Fourth Proportional to 4,755.90, 7,134.87 and 2,416.23

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Solution

The fourth proportional to 4,755.90, 7,134.87 and 2,416.23 is: 3,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.90 : 7,134.87 = 2,416.23 : x
  2. Step 2: Convert to fraction form
    4,755.90/7,134.87 = 2,416.23/x
  3. Step 3: Cross multiply
    4,755.90x = 7,134.87 × 2,416.23
  4. Step 4: Simplify right side
    4,755.90x = 17,239,486.94
  5. Step 5: Solve for x
    x = 17,239,486.94/4,755.90
  6. Step 6: Final answer
    x = 3,624.86

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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.