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Finding the Fourth Proportional to 3,499.46, 4,836.96 and 3,076.64

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Solution

The fourth proportional to 3,499.46, 4,836.96 and 3,076.64 is: 4,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.46 : 4,836.96 = 3,076.64 : x
  2. Step 2: Convert to fraction form
    3,499.46/4,836.96 = 3,076.64/x
  3. Step 3: Cross multiply
    3,499.46x = 4,836.96 × 3,076.64
  4. Step 4: Simplify right side
    3,499.46x = 14,881,584.61
  5. Step 5: Solve for x
    x = 14,881,584.61/3,499.46
  6. Step 6: Final answer
    x = 4,252.54

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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.