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Finding the Fourth Proportional to 3,942.40, 5,913.87 and 1,021

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Solution

The fourth proportional to 3,942.40, 5,913.87 and 1,021 is: 1,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.40 : 5,913.87 = 1,021 : x
  2. Step 2: Convert to fraction form
    3,942.40/5,913.87 = 1,021/x
  3. Step 3: Cross multiply
    3,942.40x = 5,913.87 × 1,021
  4. Step 4: Simplify right side
    3,942.40x = 6,038,061.27
  5. Step 5: Solve for x
    x = 6,038,061.27/3,942.40
  6. Step 6: Final answer
    x = 1,531.57

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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.