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Finding the Fourth Proportional to 3,850.48, 5,308.50 and 2,523.70

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Solution

The fourth proportional to 3,850.48, 5,308.50 and 2,523.70 is: 3,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.48 : 5,308.50 = 2,523.70 : x
  2. Step 2: Convert to fraction form
    3,850.48/5,308.50 = 2,523.70/x
  3. Step 3: Cross multiply
    3,850.48x = 5,308.50 × 2,523.70
  4. Step 4: Simplify right side
    3,850.48x = 13,397,061.45
  5. Step 5: Solve for x
    x = 13,397,061.45/3,850.48
  6. Step 6: Final answer
    x = 3,479.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.