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Finding the Fourth Proportional to 3,967.76, 5,950.36 and 1,334.72

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Solution

The fourth proportional to 3,967.76, 5,950.36 and 1,334.72 is: 2,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.76 : 5,950.36 = 1,334.72 : x
  2. Step 2: Convert to fraction form
    3,967.76/5,950.36 = 1,334.72/x
  3. Step 3: Cross multiply
    3,967.76x = 5,950.36 × 1,334.72
  4. Step 4: Simplify right side
    3,967.76x = 7,942,064.50
  5. Step 5: Solve for x
    x = 7,942,064.50/3,967.76
  6. Step 6: Final answer
    x = 2,001.65

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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.