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Finding the Fourth Proportional to 5,734.86, 8,602.29 and 3,136.38

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Solution

The fourth proportional to 5,734.86, 8,602.29 and 3,136.38 is: 4,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.86 : 8,602.29 = 3,136.38 : x
  2. Step 2: Convert to fraction form
    5,734.86/8,602.29 = 3,136.38/x
  3. Step 3: Cross multiply
    5,734.86x = 8,602.29 × 3,136.38
  4. Step 4: Simplify right side
    5,734.86x = 26,980,050.31
  5. Step 5: Solve for x
    x = 26,980,050.31/5,734.86
  6. Step 6: Final answer
    x = 4,704.57

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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.