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Finding the Fourth Proportional to 3,381, 5,069.45 and 1,529.57

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Solution

The fourth proportional to 3,381, 5,069.45 and 1,529.57 is: 2,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 5,069.45 = 1,529.57 : x
  2. Step 2: Convert to fraction form
    3,381/5,069.45 = 1,529.57/x
  3. Step 3: Cross multiply
    3,381x = 5,069.45 × 1,529.57
  4. Step 4: Simplify right side
    3,381x = 7,754,051.38
  5. Step 5: Solve for x
    x = 7,754,051.38/3,381
  6. Step 6: Final answer
    x = 2,293.42

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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.