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Finding the Fourth Proportional to 5,072.59, 7,000.50 and 2,834.74

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Solution

The fourth proportional to 5,072.59, 7,000.50 and 2,834.74 is: 3,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.59 : 7,000.50 = 2,834.74 : x
  2. Step 2: Convert to fraction form
    5,072.59/7,000.50 = 2,834.74/x
  3. Step 3: Cross multiply
    5,072.59x = 7,000.50 × 2,834.74
  4. Step 4: Simplify right side
    5,072.59x = 19,844,597.37
  5. Step 5: Solve for x
    x = 19,844,597.37/5,072.59
  6. Step 6: Final answer
    x = 3,912.12

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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.