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Finding the Fourth Proportional to 5,675.44, 8,512.80 and 1,779.76

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Solution

The fourth proportional to 5,675.44, 8,512.80 and 1,779.76 is: 2,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.44 : 8,512.80 = 1,779.76 : x
  2. Step 2: Convert to fraction form
    5,675.44/8,512.80 = 1,779.76/x
  3. Step 3: Cross multiply
    5,675.44x = 8,512.80 × 1,779.76
  4. Step 4: Simplify right side
    5,675.44x = 15,150,740.93
  5. Step 5: Solve for x
    x = 15,150,740.93/5,675.44
  6. Step 6: Final answer
    x = 2,669.53

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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.