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Finding the Fourth Proportional to 5,072.42, 7,000.08 and 2,834.54

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Solution

The fourth proportional to 5,072.42, 7,000.08 and 2,834.54 is: 3,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.42 : 7,000.08 = 2,834.54 : x
  2. Step 2: Convert to fraction form
    5,072.42/7,000.08 = 2,834.54/x
  3. Step 3: Cross multiply
    5,072.42x = 7,000.08 × 2,834.54
  4. Step 4: Simplify right side
    5,072.42x = 19,842,006.76
  5. Step 5: Solve for x
    x = 19,842,006.76/5,072.42
  6. Step 6: Final answer
    x = 3,911.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.