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Finding the Fourth Proportional to 5,574.16, 8,361.24 and 1,414.48

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Solution

The fourth proportional to 5,574.16, 8,361.24 and 1,414.48 is: 2,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.16 : 8,361.24 = 1,414.48 : x
  2. Step 2: Convert to fraction form
    5,574.16/8,361.24 = 1,414.48/x
  3. Step 3: Cross multiply
    5,574.16x = 8,361.24 × 1,414.48
  4. Step 4: Simplify right side
    5,574.16x = 11,826,780.55
  5. Step 5: Solve for x
    x = 11,826,780.55/5,574.16
  6. Step 6: Final answer
    x = 2,121.72

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Similar ratio
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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.