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Finding the Fourth Proportional to 5,543.64, 7,650.90 and 3,185.78

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Solution

The fourth proportional to 5,543.64, 7,650.90 and 3,185.78 is: 4,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.64 : 7,650.90 = 3,185.78 : x
  2. Step 2: Convert to fraction form
    5,543.64/7,650.90 = 3,185.78/x
  3. Step 3: Cross multiply
    5,543.64x = 7,650.90 × 3,185.78
  4. Step 4: Simplify right side
    5,543.64x = 24,374,045.95
  5. Step 5: Solve for x
    x = 24,374,045.95/5,543.64
  6. Step 6: Final answer
    x = 4,396.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.