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Finding the Fourth Proportional to 5,563.97, 7,678.34 and 3,046.13

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Solution

The fourth proportional to 5,563.97, 7,678.34 and 3,046.13 is: 4,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.97 : 7,678.34 = 3,046.13 : x
  2. Step 2: Convert to fraction form
    5,563.97/7,678.34 = 3,046.13/x
  3. Step 3: Cross multiply
    5,563.97x = 7,678.34 × 3,046.13
  4. Step 4: Simplify right side
    5,563.97x = 23,389,221.82
  5. Step 5: Solve for x
    x = 23,389,221.82/5,563.97
  6. Step 6: Final answer
    x = 4,203.69

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