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Finding the Fourth Proportional to 5,756.14, 8,670.37 and 5,239.42

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Solution

The fourth proportional to 5,756.14, 8,670.37 and 5,239.42 is: 7,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.14 : 8,670.37 = 5,239.42 : x
  2. Step 2: Convert to fraction form
    5,756.14/8,670.37 = 5,239.42/x
  3. Step 3: Cross multiply
    5,756.14x = 8,670.37 × 5,239.42
  4. Step 4: Simplify right side
    5,756.14x = 45,427,709.99
  5. Step 5: Solve for x
    x = 45,427,709.99/5,756.14
  6. Step 6: Final answer
    x = 7,892.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.