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Finding the Fourth Proportional to 5,156.37, 7,734.60 and 2,382.21

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Solution

The fourth proportional to 5,156.37, 7,734.60 and 2,382.21 is: 3,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.37 : 7,734.60 = 2,382.21 : x
  2. Step 2: Convert to fraction form
    5,156.37/7,734.60 = 2,382.21/x
  3. Step 3: Cross multiply
    5,156.37x = 7,734.60 × 2,382.21
  4. Step 4: Simplify right side
    5,156.37x = 18,425,441.47
  5. Step 5: Solve for x
    x = 18,425,441.47/5,156.37
  6. Step 6: Final answer
    x = 3,573.34

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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.