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Finding the Fourth Proportional to 5,969.48, 8,954.84 and 2,848.96

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Solution

The fourth proportional to 5,969.48, 8,954.84 and 2,848.96 is: 4,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.48 : 8,954.84 = 2,848.96 : x
  2. Step 2: Convert to fraction form
    5,969.48/8,954.84 = 2,848.96/x
  3. Step 3: Cross multiply
    5,969.48x = 8,954.84 × 2,848.96
  4. Step 4: Simplify right side
    5,969.48x = 25,511,980.97
  5. Step 5: Solve for x
    x = 25,511,980.97/5,969.48
  6. Step 6: Final answer
    x = 4,273.74

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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.