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Finding the Fourth Proportional to 5,833.46, 8,741.98 and 4,186.38

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Solution

The fourth proportional to 5,833.46, 8,741.98 and 4,186.38 is: 6,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.46 : 8,741.98 = 4,186.38 : x
  2. Step 2: Convert to fraction form
    5,833.46/8,741.98 = 4,186.38/x
  3. Step 3: Cross multiply
    5,833.46x = 8,741.98 × 4,186.38
  4. Step 4: Simplify right side
    5,833.46x = 36,597,250.23
  5. Step 5: Solve for x
    x = 36,597,250.23/5,833.46
  6. Step 6: Final answer
    x = 6,273.68

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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.