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Finding the Fourth Proportional to 3,474.69, 5,212.71 and 1,500.32

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Solution

The fourth proportional to 3,474.69, 5,212.71 and 1,500.32 is: 2,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.69 : 5,212.71 = 1,500.32 : x
  2. Step 2: Convert to fraction form
    3,474.69/5,212.71 = 1,500.32/x
  3. Step 3: Cross multiply
    3,474.69x = 5,212.71 × 1,500.32
  4. Step 4: Simplify right side
    3,474.69x = 7,820,707.00
  5. Step 5: Solve for x
    x = 7,820,707.00/3,474.69
  6. Step 6: Final answer
    x = 2,250.76

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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.