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Finding the Fourth Proportional to 5,260.50, 7,891.18 and 1,512.36

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Solution

The fourth proportional to 5,260.50, 7,891.18 and 1,512.36 is: 2,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.50 : 7,891.18 = 1,512.36 : x
  2. Step 2: Convert to fraction form
    5,260.50/7,891.18 = 1,512.36/x
  3. Step 3: Cross multiply
    5,260.50x = 7,891.18 × 1,512.36
  4. Step 4: Simplify right side
    5,260.50x = 11,934,304.98
  5. Step 5: Solve for x
    x = 11,934,304.98/5,260.50
  6. Step 6: Final answer
    x = 2,268.66

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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.