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Finding the Fourth Proportional to 5,702.14, 8,553.09 and 1,806.45

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Solution

The fourth proportional to 5,702.14, 8,553.09 and 1,806.45 is: 2,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.14 : 8,553.09 = 1,806.45 : x
  2. Step 2: Convert to fraction form
    5,702.14/8,553.09 = 1,806.45/x
  3. Step 3: Cross multiply
    5,702.14x = 8,553.09 × 1,806.45
  4. Step 4: Simplify right side
    5,702.14x = 15,450,729.43
  5. Step 5: Solve for x
    x = 15,450,729.43/5,702.14
  6. Step 6: Final answer
    x = 2,709.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.