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Finding the Fourth Proportional to 3,833.57, 5,290.41 and 2,154.87

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Solution

The fourth proportional to 3,833.57, 5,290.41 and 2,154.87 is: 2,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.57 : 5,290.41 = 2,154.87 : x
  2. Step 2: Convert to fraction form
    3,833.57/5,290.41 = 2,154.87/x
  3. Step 3: Cross multiply
    3,833.57x = 5,290.41 × 2,154.87
  4. Step 4: Simplify right side
    3,833.57x = 11,400,145.80
  5. Step 5: Solve for x
    x = 11,400,145.80/3,833.57
  6. Step 6: Final answer
    x = 2,973.77

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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.