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Finding the Fourth Proportional to 3,832.31, 5,288.55 and 2,154.00

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Solution

The fourth proportional to 3,832.31, 5,288.55 and 2,154.00 is: 2,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.31 : 5,288.55 = 2,154.00 : x
  2. Step 2: Convert to fraction form
    3,832.31/5,288.55 = 2,154.00/x
  3. Step 3: Cross multiply
    3,832.31x = 5,288.55 × 2,154.00
  4. Step 4: Simplify right side
    3,832.31x = 11,391,548.45
  5. Step 5: Solve for x
    x = 11,391,548.45/3,832.31
  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.