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Finding the Fourth Proportional to 5,988.69, 8,978.52 and 4,134.51

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Solution

The fourth proportional to 5,988.69, 8,978.52 and 4,134.51 is: 6,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.69 : 8,978.52 = 4,134.51 : x
  2. Step 2: Convert to fraction form
    5,988.69/8,978.52 = 4,134.51/x
  3. Step 3: Cross multiply
    5,988.69x = 8,978.52 × 4,134.51
  4. Step 4: Simplify right side
    5,988.69x = 37,121,780.73
  5. Step 5: Solve for x
    x = 37,121,780.73/5,988.69
  6. Step 6: Final answer
    x = 6,198.65

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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.