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Finding the Fourth Proportional to 3,942.92, 5,913.02 and 1,345.24

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Solution

The fourth proportional to 3,942.92, 5,913.02 and 1,345.24 is: 2,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.92 : 5,913.02 = 1,345.24 : x
  2. Step 2: Convert to fraction form
    3,942.92/5,913.02 = 1,345.24/x
  3. Step 3: Cross multiply
    3,942.92x = 5,913.02 × 1,345.24
  4. Step 4: Simplify right side
    3,942.92x = 7,954,431.02
  5. Step 5: Solve for x
    x = 7,954,431.02/3,942.92
  6. Step 6: Final answer
    x = 2,017.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.