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Finding the Fourth Proportional to 3,541.42, 5,311.52 and 943.75

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Solution

The fourth proportional to 3,541.42, 5,311.52 and 943.75 is: 1,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.42 : 5,311.52 = 943.75 : x
  2. Step 2: Convert to fraction form
    3,541.42/5,311.52 = 943.75/x
  3. Step 3: Cross multiply
    3,541.42x = 5,311.52 × 943.75
  4. Step 4: Simplify right side
    3,541.42x = 5,012,747
  5. Step 5: Solve for x
    x = 5,012,747/3,541.42
  6. Step 6: Final answer
    x = 1,415.46

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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.