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Finding the Fourth Proportional to 5,750.42, 8,614.29 and 5,345.42

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Solution

The fourth proportional to 5,750.42, 8,614.29 and 5,345.42 is: 8,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.42 : 8,614.29 = 5,345.42 : x
  2. Step 2: Convert to fraction form
    5,750.42/8,614.29 = 5,345.42/x
  3. Step 3: Cross multiply
    5,750.42x = 8,614.29 × 5,345.42
  4. Step 4: Simplify right side
    5,750.42x = 46,046,998.05
  5. Step 5: Solve for x
    x = 46,046,998.05/5,750.42
  6. Step 6: Final answer
    x = 8,007.59

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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.