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Finding the Fourth Proportional to 5,252.24, 7,876.04 and 2,786.50

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Solution

The fourth proportional to 5,252.24, 7,876.04 and 2,786.50 is: 4,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.24 : 7,876.04 = 2,786.50 : x
  2. Step 2: Convert to fraction form
    5,252.24/7,876.04 = 2,786.50/x
  3. Step 3: Cross multiply
    5,252.24x = 7,876.04 × 2,786.50
  4. Step 4: Simplify right side
    5,252.24x = 21,946,581.37
  5. Step 5: Solve for x
    x = 21,946,581.37/5,252.24
  6. Step 6: Final answer
    x = 4,178.52

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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.