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Finding the Fourth Proportional to 3,107.43, 4,654.73 and 2,328.75

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Solution

The fourth proportional to 3,107.43, 4,654.73 and 2,328.75 is: 3,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.43 : 4,654.73 = 2,328.75 : x
  2. Step 2: Convert to fraction form
    3,107.43/4,654.73 = 2,328.75/x
  3. Step 3: Cross multiply
    3,107.43x = 4,654.73 × 2,328.75
  4. Step 4: Simplify right side
    3,107.43x = 10,839,708.31
  5. Step 5: Solve for x
    x = 10,839,708.31/3,107.43
  6. Step 6: Final answer
    x = 3,488.32

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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.