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Finding the Fourth Proportional to 4,755.70, 7,131.63 and 1,677.94

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Solution

The fourth proportional to 4,755.70, 7,131.63 and 1,677.94 is: 2,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.70 : 7,131.63 = 1,677.94 : x
  2. Step 2: Convert to fraction form
    4,755.70/7,131.63 = 1,677.94/x
  3. Step 3: Cross multiply
    4,755.70x = 7,131.63 × 1,677.94
  4. Step 4: Simplify right side
    4,755.70x = 11,966,447.24
  5. Step 5: Solve for x
    x = 11,966,447.24/4,755.70
  6. Step 6: Final answer
    x = 2,516.23

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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.