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Finding the Fourth Proportional to 3,967.86, 5,949.75 and 1,334.46

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Solution

The fourth proportional to 3,967.86, 5,949.75 and 1,334.46 is: 2,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.86 : 5,949.75 = 1,334.46 : x
  2. Step 2: Convert to fraction form
    3,967.86/5,949.75 = 1,334.46/x
  3. Step 3: Cross multiply
    3,967.86x = 5,949.75 × 1,334.46
  4. Step 4: Simplify right side
    3,967.86x = 7,939,703.39
  5. Step 5: Solve for x
    x = 7,939,703.39/3,967.86
  6. Step 6: Final answer
    x = 2,001.00

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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.