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Finding the Fourth Proportional to 5,178.42, 7,762.11 and 2,057.08

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Solution

The fourth proportional to 5,178.42, 7,762.11 and 2,057.08 is: 3,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.42 : 7,762.11 = 2,057.08 : x
  2. Step 2: Convert to fraction form
    5,178.42/7,762.11 = 2,057.08/x
  3. Step 3: Cross multiply
    5,178.42x = 7,762.11 × 2,057.08
  4. Step 4: Simplify right side
    5,178.42x = 15,967,281.24
  5. Step 5: Solve for x
    x = 15,967,281.24/5,178.42
  6. Step 6: Final answer
    x = 3,083.43

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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.