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Finding the Fourth Proportional to 5,564.48, 7,679.03 and 3,046.64

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Solution

The fourth proportional to 5,564.48, 7,679.03 and 3,046.64 is: 4,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.48 : 7,679.03 = 3,046.64 : x
  2. Step 2: Convert to fraction form
    5,564.48/7,679.03 = 3,046.64/x
  3. Step 3: Cross multiply
    5,564.48x = 7,679.03 × 3,046.64
  4. Step 4: Simplify right side
    5,564.48x = 23,395,186.33
  5. Step 5: Solve for x
    x = 23,395,186.33/5,564.48
  6. Step 6: Final answer
    x = 4,204.38

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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.