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Finding the Fourth Proportional to 4,072.34, 6,103.79 and 1,876.45

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Solution

The fourth proportional to 4,072.34, 6,103.79 and 1,876.45 is: 2,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.34 : 6,103.79 = 1,876.45 : x
  2. Step 2: Convert to fraction form
    4,072.34/6,103.79 = 1,876.45/x
  3. Step 3: Cross multiply
    4,072.34x = 6,103.79 × 1,876.45
  4. Step 4: Simplify right side
    4,072.34x = 11,453,456.75
  5. Step 5: Solve for x
    x = 11,453,456.75/4,072.34
  6. Step 6: Final answer
    x = 2,812.50

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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.