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Finding the Fourth Proportional to 5,648, 7,796.48 and 3,786.08

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Solution

The fourth proportional to 5,648, 7,796.48 and 3,786.08 is: 5,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 7,796.48 = 3,786.08 : x
  2. Step 2: Convert to fraction form
    5,648/7,796.48 = 3,786.08/x
  3. Step 3: Cross multiply
    5,648x = 7,796.48 × 3,786.08
  4. Step 4: Simplify right side
    5,648x = 29,518,097.00
  5. Step 5: Solve for x
    x = 29,518,097.00/5,648
  6. Step 6: Final answer
    x = 5,226.29

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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.