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Finding the Fourth Proportional to 5,807.38, 8,712.12 and 2,114.80

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Solution

The fourth proportional to 5,807.38, 8,712.12 and 2,114.80 is: 3,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.38 : 8,712.12 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    5,807.38/8,712.12 = 2,114.80/x
  3. Step 3: Cross multiply
    5,807.38x = 8,712.12 × 2,114.80
  4. Step 4: Simplify right side
    5,807.38x = 18,424,337.24
  5. Step 5: Solve for x
    x = 18,424,337.24/5,807.38
  6. Step 6: Final answer
    x = 3,172.57

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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.