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Finding the Fourth Proportional to 4,171.70, 6,272.55 and 3,846.61

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Solution

The fourth proportional to 4,171.70, 6,272.55 and 3,846.61 is: 5,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.70 : 6,272.55 = 3,846.61 : x
  2. Step 2: Convert to fraction form
    4,171.70/6,272.55 = 3,846.61/x
  3. Step 3: Cross multiply
    4,171.70x = 6,272.55 × 3,846.61
  4. Step 4: Simplify right side
    4,171.70x = 24,128,026.11
  5. Step 5: Solve for x
    x = 24,128,026.11/4,171.70
  6. Step 6: Final answer
    x = 5,783.74

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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.