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Finding the Fourth Proportional to 5,677.70, 7,839.11 and 3,554.15

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Solution

The fourth proportional to 5,677.70, 7,839.11 and 3,554.15 is: 4,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.70 : 7,839.11 = 3,554.15 : x
  2. Step 2: Convert to fraction form
    5,677.70/7,839.11 = 3,554.15/x
  3. Step 3: Cross multiply
    5,677.70x = 7,839.11 × 3,554.15
  4. Step 4: Simplify right side
    5,677.70x = 27,861,342.50
  5. Step 5: Solve for x
    x = 27,861,342.50/5,677.70
  6. Step 6: Final answer
    x = 4,907.16

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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.