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Finding the Fourth Proportional to 5,166.36, 7,744.68 and 1,877.76

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Solution

The fourth proportional to 5,166.36, 7,744.68 and 1,877.76 is: 2,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.36 : 7,744.68 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    5,166.36/7,744.68 = 1,877.76/x
  3. Step 3: Cross multiply
    5,166.36x = 7,744.68 × 1,877.76
  4. Step 4: Simplify right side
    5,166.36x = 14,542,650.32
  5. Step 5: Solve for x
    x = 14,542,650.32/5,166.36
  6. Step 6: Final answer
    x = 2,814.87

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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.