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Finding the Fourth Proportional to 6,095.44, 8,414.04 and 3,740.77

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Solution

The fourth proportional to 6,095.44, 8,414.04 and 3,740.77 is: 5,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.44 : 8,414.04 = 3,740.77 : x
  2. Step 2: Convert to fraction form
    6,095.44/8,414.04 = 3,740.77/x
  3. Step 3: Cross multiply
    6,095.44x = 8,414.04 × 3,740.77
  4. Step 4: Simplify right side
    6,095.44x = 31,474,988.41
  5. Step 5: Solve for x
    x = 31,474,988.41/6,095.44
  6. Step 6: Final answer
    x = 5,163.69

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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.