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Finding the Fourth Proportional to 5,634.68, 8,452.02 and 1,474.68

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Solution

The fourth proportional to 5,634.68, 8,452.02 and 1,474.68 is: 2,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.68 : 8,452.02 = 1,474.68 : x
  2. Step 2: Convert to fraction form
    5,634.68/8,452.02 = 1,474.68/x
  3. Step 3: Cross multiply
    5,634.68x = 8,452.02 × 1,474.68
  4. Step 4: Simplify right side
    5,634.68x = 12,464,024.85
  5. Step 5: Solve for x
    x = 12,464,024.85/5,634.68
  6. Step 6: Final answer
    x = 2,212.02

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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.