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Finding the Fourth Proportional to 3,346.28, 5,022.50 and 1,704

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Solution

The fourth proportional to 3,346.28, 5,022.50 and 1,704 is: 2,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.28 : 5,022.50 = 1,704 : x
  2. Step 2: Convert to fraction form
    3,346.28/5,022.50 = 1,704/x
  3. Step 3: Cross multiply
    3,346.28x = 5,022.50 × 1,704
  4. Step 4: Simplify right side
    3,346.28x = 8,558,340
  5. Step 5: Solve for x
    x = 8,558,340/3,346.28
  6. Step 6: Final answer
    x = 2,557.57

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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.