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Finding the Fourth Proportional to 5,236.84, 7,852.02 and 3,044.44

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Solution

The fourth proportional to 5,236.84, 7,852.02 and 3,044.44 is: 4,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.84 : 7,852.02 = 3,044.44 : x
  2. Step 2: Convert to fraction form
    5,236.84/7,852.02 = 3,044.44/x
  3. Step 3: Cross multiply
    5,236.84x = 7,852.02 × 3,044.44
  4. Step 4: Simplify right side
    5,236.84x = 23,905,003.77
  5. Step 5: Solve for x
    x = 23,905,003.77/5,236.84
  6. Step 6: Final answer
    x = 4,564.78

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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.