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Finding the Fourth Proportional to 3,146.79, 4,723.46 and 3,076.19

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Solution

The fourth proportional to 3,146.79, 4,723.46 and 3,076.19 is: 4,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.79 : 4,723.46 = 3,076.19 : x
  2. Step 2: Convert to fraction form
    3,146.79/4,723.46 = 3,076.19/x
  3. Step 3: Cross multiply
    3,146.79x = 4,723.46 × 3,076.19
  4. Step 4: Simplify right side
    3,146.79x = 14,530,256.85
  5. Step 5: Solve for x
    x = 14,530,256.85/3,146.79
  6. Step 6: Final answer
    x = 4,617.49

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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.