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Finding the Fourth Proportional to 5,728.41, 8,593.97 and 1,779.47

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Solution

The fourth proportional to 5,728.41, 8,593.97 and 1,779.47 is: 2,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.41 : 8,593.97 = 1,779.47 : x
  2. Step 2: Convert to fraction form
    5,728.41/8,593.97 = 1,779.47/x
  3. Step 3: Cross multiply
    5,728.41x = 8,593.97 × 1,779.47
  4. Step 4: Simplify right side
    5,728.41x = 15,292,659.93
  5. Step 5: Solve for x
    x = 15,292,659.93/5,728.41
  6. Step 6: Final answer
    x = 2,669.62

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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.