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Finding the Fourth Proportional to 5,100.72, 7,650.86 and 1,813.84

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Solution

The fourth proportional to 5,100.72, 7,650.86 and 1,813.84 is: 2,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.72 : 7,650.86 = 1,813.84 : x
  2. Step 2: Convert to fraction form
    5,100.72/7,650.86 = 1,813.84/x
  3. Step 3: Cross multiply
    5,100.72x = 7,650.86 × 1,813.84
  4. Step 4: Simplify right side
    5,100.72x = 13,877,450.74
  5. Step 5: Solve for x
    x = 13,877,450.74/5,100.72
  6. Step 6: Final answer
    x = 2,720.68

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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.