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Finding the Fourth Proportional to 5,636.14, 8,455.50 and 1,938.34

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Solution

The fourth proportional to 5,636.14, 8,455.50 and 1,938.34 is: 2,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.14 : 8,455.50 = 1,938.34 : x
  2. Step 2: Convert to fraction form
    5,636.14/8,455.50 = 1,938.34/x
  3. Step 3: Cross multiply
    5,636.14x = 8,455.50 × 1,938.34
  4. Step 4: Simplify right side
    5,636.14x = 16,389,633.87
  5. Step 5: Solve for x
    x = 16,389,633.87/5,636.14
  6. Step 6: Final answer
    x = 2,907.95

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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.