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Finding the Fourth Proportional to 3,452, 5,178.81 and 1,143.50

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Solution

The fourth proportional to 3,452, 5,178.81 and 1,143.50 is: 1,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452 : 5,178.81 = 1,143.50 : x
  2. Step 2: Convert to fraction form
    3,452/5,178.81 = 1,143.50/x
  3. Step 3: Cross multiply
    3,452x = 5,178.81 × 1,143.50
  4. Step 4: Simplify right side
    3,452x = 5,921,969.24
  5. Step 5: Solve for x
    x = 5,921,969.24/3,452
  6. Step 6: Final answer
    x = 1,715.52

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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.