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Finding the Fourth Proportional to 4,661.46, 6,432.74 and 2,773.96

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Solution

The fourth proportional to 4,661.46, 6,432.74 and 2,773.96 is: 3,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.46 : 6,432.74 = 2,773.96 : x
  2. Step 2: Convert to fraction form
    4,661.46/6,432.74 = 2,773.96/x
  3. Step 3: Cross multiply
    4,661.46x = 6,432.74 × 2,773.96
  4. Step 4: Simplify right side
    4,661.46x = 17,844,163.45
  5. Step 5: Solve for x
    x = 17,844,163.45/4,661.46
  6. Step 6: Final answer
    x = 3,828.02

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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.