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Finding the Fourth Proportional to 3,851.96, 5,778.66 and 1,543.64

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Solution

The fourth proportional to 3,851.96, 5,778.66 and 1,543.64 is: 2,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.96 : 5,778.66 = 1,543.64 : x
  2. Step 2: Convert to fraction form
    3,851.96/5,778.66 = 1,543.64/x
  3. Step 3: Cross multiply
    3,851.96x = 5,778.66 × 1,543.64
  4. Step 4: Simplify right side
    3,851.96x = 8,920,170.72
  5. Step 5: Solve for x
    x = 8,920,170.72/3,851.96
  6. Step 6: Final answer
    x = 2,315.75

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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.