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Finding the Fourth Proportional to 5,993.69, 8,986.02 and 4,139.51

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Solution

The fourth proportional to 5,993.69, 8,986.02 and 4,139.51 is: 6,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.69 : 8,986.02 = 4,139.51 : x
  2. Step 2: Convert to fraction form
    5,993.69/8,986.02 = 4,139.51/x
  3. Step 3: Cross multiply
    5,993.69x = 8,986.02 × 4,139.51
  4. Step 4: Simplify right side
    5,993.69x = 37,197,719.65
  5. Step 5: Solve for x
    x = 37,197,719.65/5,993.69
  6. Step 6: Final answer
    x = 6,206.15

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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.