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Finding the Fourth Proportional to 3,967.90, 5,952.39 and 1,503.58

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Solution

The fourth proportional to 3,967.90, 5,952.39 and 1,503.58 is: 2,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.90 : 5,952.39 = 1,503.58 : x
  2. Step 2: Convert to fraction form
    3,967.90/5,952.39 = 1,503.58/x
  3. Step 3: Cross multiply
    3,967.90x = 5,952.39 × 1,503.58
  4. Step 4: Simplify right side
    3,967.90x = 8,949,894.56
  5. Step 5: Solve for x
    x = 8,949,894.56/3,967.90
  6. Step 6: Final answer
    x = 2,255.57

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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.