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Finding the Fourth Proportional to 5,784.12, 7,986.94 and 3,663.38

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Solution

The fourth proportional to 5,784.12, 7,986.94 and 3,663.38 is: 5,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.12 : 7,986.94 = 3,663.38 : x
  2. Step 2: Convert to fraction form
    5,784.12/7,986.94 = 3,663.38/x
  3. Step 3: Cross multiply
    5,784.12x = 7,986.94 × 3,663.38
  4. Step 4: Simplify right side
    5,784.12x = 29,259,196.26
  5. Step 5: Solve for x
    x = 29,259,196.26/5,784.12
  6. Step 6: Final answer
    x = 5,058.54

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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.