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Finding the Fourth Proportional to 5,072.50, 7,607.58 and 1,951.48

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Solution

The fourth proportional to 5,072.50, 7,607.58 and 1,951.48 is: 2,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.50 : 7,607.58 = 1,951.48 : x
  2. Step 2: Convert to fraction form
    5,072.50/7,607.58 = 1,951.48/x
  3. Step 3: Cross multiply
    5,072.50x = 7,607.58 × 1,951.48
  4. Step 4: Simplify right side
    5,072.50x = 14,846,040.22
  5. Step 5: Solve for x
    x = 14,846,040.22/5,072.50
  6. Step 6: Final answer
    x = 2,926.77

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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.