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Finding the Fourth Proportional to 5,777.80, 7,967.94 and 3,678.28

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Solution

The fourth proportional to 5,777.80, 7,967.94 and 3,678.28 is: 5,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.80 : 7,967.94 = 3,678.28 : x
  2. Step 2: Convert to fraction form
    5,777.80/7,967.94 = 3,678.28/x
  3. Step 3: Cross multiply
    5,777.80x = 7,967.94 × 3,678.28
  4. Step 4: Simplify right side
    5,777.80x = 29,308,314.34
  5. Step 5: Solve for x
    x = 29,308,314.34/5,777.80
  6. Step 6: Final answer
    x = 5,072.57

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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.