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Finding the Fourth Proportional to 5,178.37, 7,763.23 and 2,056.42

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Solution

The fourth proportional to 5,178.37, 7,763.23 and 2,056.42 is: 3,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.37 : 7,763.23 = 2,056.42 : x
  2. Step 2: Convert to fraction form
    5,178.37/7,763.23 = 2,056.42/x
  3. Step 3: Cross multiply
    5,178.37x = 7,763.23 × 2,056.42
  4. Step 4: Simplify right side
    5,178.37x = 15,964,461.44
  5. Step 5: Solve for x
    x = 15,964,461.44/5,178.37
  6. Step 6: Final answer
    x = 3,082.91

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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.