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Finding the Fourth Proportional to 3,406.46, 5,110.30 and 1,216.46

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Solution

The fourth proportional to 3,406.46, 5,110.30 and 1,216.46 is: 1,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.46 : 5,110.30 = 1,216.46 : x
  2. Step 2: Convert to fraction form
    3,406.46/5,110.30 = 1,216.46/x
  3. Step 3: Cross multiply
    3,406.46x = 5,110.30 × 1,216.46
  4. Step 4: Simplify right side
    3,406.46x = 6,216,475.54
  5. Step 5: Solve for x
    x = 6,216,475.54/3,406.46
  6. Step 6: Final answer
    x = 1,824.91

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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.