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Finding the Fourth Proportional to 5,231.53, 7,852.56 and 3,044.53

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Solution

The fourth proportional to 5,231.53, 7,852.56 and 3,044.53 is: 4,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.53 : 7,852.56 = 3,044.53 : x
  2. Step 2: Convert to fraction form
    5,231.53/7,852.56 = 3,044.53/x
  3. Step 3: Cross multiply
    5,231.53x = 7,852.56 × 3,044.53
  4. Step 4: Simplify right side
    5,231.53x = 23,907,354.50
  5. Step 5: Solve for x
    x = 23,907,354.50/5,231.53
  6. Step 6: Final answer
    x = 4,569.86

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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.