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Finding the Fourth Proportional to 3,361.63, 5,043.54 and 1,140.70

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Solution

The fourth proportional to 3,361.63, 5,043.54 and 1,140.70 is: 1,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.63 : 5,043.54 = 1,140.70 : x
  2. Step 2: Convert to fraction form
    3,361.63/5,043.54 = 1,140.70/x
  3. Step 3: Cross multiply
    3,361.63x = 5,043.54 × 1,140.70
  4. Step 4: Simplify right side
    3,361.63x = 5,753,166.08
  5. Step 5: Solve for x
    x = 5,753,166.08/3,361.63
  6. Step 6: Final answer
    x = 1,711.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.