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Finding the Fourth Proportional to 3,832.61, 5,288.68 and 2,153.89

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Solution

The fourth proportional to 3,832.61, 5,288.68 and 2,153.89 is: 2,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.61 : 5,288.68 = 2,153.89 : x
  2. Step 2: Convert to fraction form
    3,832.61/5,288.68 = 2,153.89/x
  3. Step 3: Cross multiply
    3,832.61x = 5,288.68 × 2,153.89
  4. Step 4: Simplify right side
    3,832.61x = 11,391,216.36
  5. Step 5: Solve for x
    x = 11,391,216.36/3,832.61
  6. Step 6: Final answer
    x = 2,972.18

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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.