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Finding the Fourth Proportional to 5,980.41, 8,253.35 and 3,994.29

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Solution

The fourth proportional to 5,980.41, 8,253.35 and 3,994.29 is: 5,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.41 : 8,253.35 = 3,994.29 : x
  2. Step 2: Convert to fraction form
    5,980.41/8,253.35 = 3,994.29/x
  3. Step 3: Cross multiply
    5,980.41x = 8,253.35 × 3,994.29
  4. Step 4: Simplify right side
    5,980.41x = 32,966,273.37
  5. Step 5: Solve for x
    x = 32,966,273.37/5,980.41
  6. Step 6: Final answer
    x = 5,512.38

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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.