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Finding the Fourth Proportional to 3,409.26, 5,113.30 and 943.50

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Solution

The fourth proportional to 3,409.26, 5,113.30 and 943.50 is: 1,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.26 : 5,113.30 = 943.50 : x
  2. Step 2: Convert to fraction form
    3,409.26/5,113.30 = 943.50/x
  3. Step 3: Cross multiply
    3,409.26x = 5,113.30 × 943.50
  4. Step 4: Simplify right side
    3,409.26x = 4,824,398.55
  5. Step 5: Solve for x
    x = 4,824,398.55/3,409.26
  6. Step 6: Final answer
    x = 1,415.09

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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.