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Finding the Fourth Proportional to 5,735.23, 7,911.27 and 3,607.39

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Solution

The fourth proportional to 5,735.23, 7,911.27 and 3,607.39 is: 4,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.23 : 7,911.27 = 3,607.39 : x
  2. Step 2: Convert to fraction form
    5,735.23/7,911.27 = 3,607.39/x
  3. Step 3: Cross multiply
    5,735.23x = 7,911.27 × 3,607.39
  4. Step 4: Simplify right side
    5,735.23x = 28,539,036.29
  5. Step 5: Solve for x
    x = 28,539,036.29/5,735.23
  6. Step 6: Final answer
    x = 4,976.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.