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Finding the Fourth Proportional to 5,749.77, 8,611.82 and 4,999.77

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Solution

The fourth proportional to 5,749.77, 8,611.82 and 4,999.77 is: 7,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.77 : 8,611.82 = 4,999.77 : x
  2. Step 2: Convert to fraction form
    5,749.77/8,611.82 = 4,999.77/x
  3. Step 3: Cross multiply
    5,749.77x = 8,611.82 × 4,999.77
  4. Step 4: Simplify right side
    5,749.77x = 43,057,094.28
  5. Step 5: Solve for x
    x = 43,057,094.28/5,749.77
  6. Step 6: Final answer
    x = 7,488.49

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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.