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Finding the Fourth Proportional to 5,026.92, 7,528.86 and 4,942.44

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Solution

The fourth proportional to 5,026.92, 7,528.86 and 4,942.44 is: 7,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.92 : 7,528.86 = 4,942.44 : x
  2. Step 2: Convert to fraction form
    5,026.92/7,528.86 = 4,942.44/x
  3. Step 3: Cross multiply
    5,026.92x = 7,528.86 × 4,942.44
  4. Step 4: Simplify right side
    5,026.92x = 37,210,938.82
  5. Step 5: Solve for x
    x = 37,210,938.82/5,026.92
  6. Step 6: Final answer
    x = 7,402.33

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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.