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Finding the Fourth Proportional to 3,833.64, 5,290.53 and 2,155.05

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Solution

The fourth proportional to 3,833.64, 5,290.53 and 2,155.05 is: 2,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,290.53 = 2,155.05 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,290.53 = 2,155.05/x
  3. Step 3: Cross multiply
    3,833.64x = 5,290.53 × 2,155.05
  4. Step 4: Simplify right side
    3,833.64x = 11,401,356.68
  5. Step 5: Solve for x
    x = 11,401,356.68/3,833.64
  6. Step 6: Final answer
    x = 2,974.03

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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.