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Finding the Fourth Proportional to 3,811.80, 5,265.42 and 3,068.64

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Solution

The fourth proportional to 3,811.80, 5,265.42 and 3,068.64 is: 4,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.80 : 5,265.42 = 3,068.64 : x
  2. Step 2: Convert to fraction form
    3,811.80/5,265.42 = 3,068.64/x
  3. Step 3: Cross multiply
    3,811.80x = 5,265.42 × 3,068.64
  4. Step 4: Simplify right side
    3,811.80x = 16,157,678.43
  5. Step 5: Solve for x
    x = 16,157,678.43/3,811.80
  6. Step 6: Final answer
    x = 4,238.86

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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.