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Finding the Fourth Proportional to 5,987.94, 8,262.73 and 3,470.84

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Solution

The fourth proportional to 5,987.94, 8,262.73 and 3,470.84 is: 4,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.94 : 8,262.73 = 3,470.84 : x
  2. Step 2: Convert to fraction form
    5,987.94/8,262.73 = 3,470.84/x
  3. Step 3: Cross multiply
    5,987.94x = 8,262.73 × 3,470.84
  4. Step 4: Simplify right side
    5,987.94x = 28,678,600.78
  5. Step 5: Solve for x
    x = 28,678,600.78/5,987.94
  6. Step 6: Final answer
    x = 4,789.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.