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Finding the Fourth Proportional to 5,245.75, 7,239.45 and 2,887.84

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Solution

The fourth proportional to 5,245.75, 7,239.45 and 2,887.84 is: 3,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.75 : 7,239.45 = 2,887.84 : x
  2. Step 2: Convert to fraction form
    5,245.75/7,239.45 = 2,887.84/x
  3. Step 3: Cross multiply
    5,245.75x = 7,239.45 × 2,887.84
  4. Step 4: Simplify right side
    5,245.75x = 20,906,373.29
  5. Step 5: Solve for x
    x = 20,906,373.29/5,245.75
  6. Step 6: Final answer
    x = 3,985.39

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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.