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Finding the Fourth Proportional to 3,589.89, 4,955.00 and 2,174.42

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Solution

The fourth proportional to 3,589.89, 4,955.00 and 2,174.42 is: 3,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.89 : 4,955.00 = 2,174.42 : x
  2. Step 2: Convert to fraction form
    3,589.89/4,955.00 = 2,174.42/x
  3. Step 3: Cross multiply
    3,589.89x = 4,955.00 × 2,174.42
  4. Step 4: Simplify right side
    3,589.89x = 10,774,215.45
  5. Step 5: Solve for x
    x = 10,774,215.45/3,589.89
  6. Step 6: Final answer
    x = 3,001.27

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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.