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Finding the Fourth Proportional to 3,123.62, 4,662.64 and 2,729.51

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Solution

The fourth proportional to 3,123.62, 4,662.64 and 2,729.51 is: 4,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.62 : 4,662.64 = 2,729.51 : x
  2. Step 2: Convert to fraction form
    3,123.62/4,662.64 = 2,729.51/x
  3. Step 3: Cross multiply
    3,123.62x = 4,662.64 × 2,729.51
  4. Step 4: Simplify right side
    3,123.62x = 12,726,708.86
  5. Step 5: Solve for x
    x = 12,726,708.86/3,123.62
  6. Step 6: Final answer
    x = 4,074.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.