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Finding the Fourth Proportional to 4,801.62, 7,195.26 and 4,346.48

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Solution

The fourth proportional to 4,801.62, 7,195.26 and 4,346.48 is: 6,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.62 : 7,195.26 = 4,346.48 : x
  2. Step 2: Convert to fraction form
    4,801.62/7,195.26 = 4,346.48/x
  3. Step 3: Cross multiply
    4,801.62x = 7,195.26 × 4,346.48
  4. Step 4: Simplify right side
    4,801.62x = 31,274,053.68
  5. Step 5: Solve for x
    x = 31,274,053.68/4,801.62
  6. Step 6: Final answer
    x = 6,513.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.