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Finding the Fourth Proportional to 5,685.42, 8,512.38 and 4,294.56

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Solution

The fourth proportional to 5,685.42, 8,512.38 and 4,294.56 is: 6,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.42 : 8,512.38 = 4,294.56 : x
  2. Step 2: Convert to fraction form
    5,685.42/8,512.38 = 4,294.56/x
  3. Step 3: Cross multiply
    5,685.42x = 8,512.38 × 4,294.56
  4. Step 4: Simplify right side
    5,685.42x = 36,556,926.65
  5. Step 5: Solve for x
    x = 36,556,926.65/5,685.42
  6. Step 6: Final answer
    x = 6,429.94

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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.