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Finding the Fourth Proportional to 5,263.78, 7,896.06 and 1,801

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Solution

The fourth proportional to 5,263.78, 7,896.06 and 1,801 is: 2,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.78 : 7,896.06 = 1,801 : x
  2. Step 2: Convert to fraction form
    5,263.78/7,896.06 = 1,801/x
  3. Step 3: Cross multiply
    5,263.78x = 7,896.06 × 1,801
  4. Step 4: Simplify right side
    5,263.78x = 14,220,804.06
  5. Step 5: Solve for x
    x = 14,220,804.06/5,263.78
  6. Step 6: Final answer
    x = 2,701.63

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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.