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Finding the Fourth Proportional to 3,833.19, 5,289.76 and 2,154.88

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Solution

The fourth proportional to 3,833.19, 5,289.76 and 2,154.88 is: 2,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.19 : 5,289.76 = 2,154.88 : x
  2. Step 2: Convert to fraction form
    3,833.19/5,289.76 = 2,154.88/x
  3. Step 3: Cross multiply
    3,833.19x = 5,289.76 × 2,154.88
  4. Step 4: Simplify right side
    3,833.19x = 11,398,787.25
  5. Step 5: Solve for x
    x = 11,398,787.25/3,833.19
  6. Step 6: Final answer
    x = 2,973.71

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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.