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Finding the Fourth Proportional to 3,833.16, 5,289.17 and 2,154.23

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Solution

The fourth proportional to 3,833.16, 5,289.17 and 2,154.23 is: 2,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.16 : 5,289.17 = 2,154.23 : x
  2. Step 2: Convert to fraction form
    3,833.16/5,289.17 = 2,154.23/x
  3. Step 3: Cross multiply
    3,833.16x = 5,289.17 × 2,154.23
  4. Step 4: Simplify right side
    3,833.16x = 11,394,071.31
  5. Step 5: Solve for x
    x = 11,394,071.31/3,833.16
  6. Step 6: Final answer
    x = 2,972.50

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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.