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Finding the Fourth Proportional to 5,564.37, 7,678.82 and 3,326.14

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Solution

The fourth proportional to 5,564.37, 7,678.82 and 3,326.14 is: 4,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.37 : 7,678.82 = 3,326.14 : x
  2. Step 2: Convert to fraction form
    5,564.37/7,678.82 = 3,326.14/x
  3. Step 3: Cross multiply
    5,564.37x = 7,678.82 × 3,326.14
  4. Step 4: Simplify right side
    5,564.37x = 25,540,775.33
  5. Step 5: Solve for x
    x = 25,540,775.33/5,564.37
  6. Step 6: Final answer
    x = 4,590.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.