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Finding the Fourth Proportional to 5,157.84, 7,736.92 and 1,262.25

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Solution

The fourth proportional to 5,157.84, 7,736.92 and 1,262.25 is: 1,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,736.92 = 1,262.25 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,736.92 = 1,262.25/x
  3. Step 3: Cross multiply
    5,157.84x = 7,736.92 × 1,262.25
  4. Step 4: Simplify right side
    5,157.84x = 9,765,924.11
  5. Step 5: Solve for x
    x = 9,765,924.11/5,157.84
  6. Step 6: Final answer
    x = 1,893.41

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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.