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Finding the Fourth Proportional to 6,076.46, 8,384.10 and 4,189.70

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Solution

The fourth proportional to 6,076.46, 8,384.10 and 4,189.70 is: 5,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.46 : 8,384.10 = 4,189.70 : x
  2. Step 2: Convert to fraction form
    6,076.46/8,384.10 = 4,189.70/x
  3. Step 3: Cross multiply
    6,076.46x = 8,384.10 × 4,189.70
  4. Step 4: Simplify right side
    6,076.46x = 35,126,863.77
  5. Step 5: Solve for x
    x = 35,126,863.77/6,076.46
  6. Step 6: Final answer
    x = 5,780.81

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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.