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Finding the Fourth Proportional to 3,832.34, 5,288.76 and 2,153.71

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Solution

The fourth proportional to 3,832.34, 5,288.76 and 2,153.71 is: 2,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.34 : 5,288.76 = 2,153.71 : x
  2. Step 2: Convert to fraction form
    3,832.34/5,288.76 = 2,153.71/x
  3. Step 3: Cross multiply
    3,832.34x = 5,288.76 × 2,153.71
  4. Step 4: Simplify right side
    3,832.34x = 11,390,442.08
  5. Step 5: Solve for x
    x = 11,390,442.08/3,832.34
  6. Step 6: Final answer
    x = 2,972.19

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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.