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Finding the Fourth Proportional to 3,663.68, 5,058.77 and 3,383.80

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Solution

The fourth proportional to 3,663.68, 5,058.77 and 3,383.80 is: 4,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.68 : 5,058.77 = 3,383.80 : x
  2. Step 2: Convert to fraction form
    3,663.68/5,058.77 = 3,383.80/x
  3. Step 3: Cross multiply
    3,663.68x = 5,058.77 × 3,383.80
  4. Step 4: Simplify right side
    3,663.68x = 17,117,865.93
  5. Step 5: Solve for x
    x = 17,117,865.93/3,663.68
  6. Step 6: Final answer
    x = 4,672.31

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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.