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Finding the Fourth Proportional to 3,986.13, 5,978.73 and 1,064.66

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Solution

The fourth proportional to 3,986.13, 5,978.73 and 1,064.66 is: 1,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.13 : 5,978.73 = 1,064.66 : x
  2. Step 2: Convert to fraction form
    3,986.13/5,978.73 = 1,064.66/x
  3. Step 3: Cross multiply
    3,986.13x = 5,978.73 × 1,064.66
  4. Step 4: Simplify right side
    3,986.13x = 6,365,329.63
  5. Step 5: Solve for x
    x = 6,365,329.63/3,986.13
  6. Step 6: Final answer
    x = 1,596.87

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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.