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Finding the Fourth Proportional to 4,156.54, 5,729.29 and 3,616.79

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Solution

The fourth proportional to 4,156.54, 5,729.29 and 3,616.79 is: 4,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.54 : 5,729.29 = 3,616.79 : x
  2. Step 2: Convert to fraction form
    4,156.54/5,729.29 = 3,616.79/x
  3. Step 3: Cross multiply
    4,156.54x = 5,729.29 × 3,616.79
  4. Step 4: Simplify right side
    4,156.54x = 20,721,620.70
  5. Step 5: Solve for x
    x = 20,721,620.70/4,156.54
  6. Step 6: Final answer
    x = 4,985.31

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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.