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Finding the Fourth Proportional to 3,586.46, 5,344.47 and 3,469.01

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Solution

The fourth proportional to 3,586.46, 5,344.47 and 3,469.01 is: 5,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.46 : 5,344.47 = 3,469.01 : x
  2. Step 2: Convert to fraction form
    3,586.46/5,344.47 = 3,469.01/x
  3. Step 3: Cross multiply
    3,586.46x = 5,344.47 × 3,469.01
  4. Step 4: Simplify right side
    3,586.46x = 18,539,993.15
  5. Step 5: Solve for x
    x = 18,539,993.15/3,586.46
  6. Step 6: Final answer
    x = 5,169.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.