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Finding the Fourth Proportional to 3,446.17, 5,169.56 and 2,533.10

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Solution

The fourth proportional to 3,446.17, 5,169.56 and 2,533.10 is: 3,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.17 : 5,169.56 = 2,533.10 : x
  2. Step 2: Convert to fraction form
    3,446.17/5,169.56 = 2,533.10/x
  3. Step 3: Cross multiply
    3,446.17x = 5,169.56 × 2,533.10
  4. Step 4: Simplify right side
    3,446.17x = 13,094,973.92
  5. Step 5: Solve for x
    x = 13,094,973.92/3,446.17
  6. Step 6: Final answer
    x = 3,799.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.