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Finding the Fourth Proportional to 5,116.62, 7,060.92 and 2,878.50

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Solution

The fourth proportional to 5,116.62, 7,060.92 and 2,878.50 is: 3,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.62 : 7,060.92 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    5,116.62/7,060.92 = 2,878.50/x
  3. Step 3: Cross multiply
    5,116.62x = 7,060.92 × 2,878.50
  4. Step 4: Simplify right side
    5,116.62x = 20,324,858.22
  5. Step 5: Solve for x
    x = 20,324,858.22/5,116.62
  6. Step 6: Final answer
    x = 3,972.32

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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.