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Finding the Fourth Proportional to 5,244.98, 7,868.62 and 1,736.08

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Solution

The fourth proportional to 5,244.98, 7,868.62 and 1,736.08 is: 2,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.98 : 7,868.62 = 1,736.08 : x
  2. Step 2: Convert to fraction form
    5,244.98/7,868.62 = 1,736.08/x
  3. Step 3: Cross multiply
    5,244.98x = 7,868.62 × 1,736.08
  4. Step 4: Simplify right side
    5,244.98x = 13,660,553.81
  5. Step 5: Solve for x
    x = 13,660,553.81/5,244.98
  6. Step 6: Final answer
    x = 2,604.50

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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.