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Finding the Fourth Proportional to 5,342.36, 8,011.51 and 2,135.68

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Solution

The fourth proportional to 5,342.36, 8,011.51 and 2,135.68 is: 3,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.36 : 8,011.51 = 2,135.68 : x
  2. Step 2: Convert to fraction form
    5,342.36/8,011.51 = 2,135.68/x
  3. Step 3: Cross multiply
    5,342.36x = 8,011.51 × 2,135.68
  4. Step 4: Simplify right side
    5,342.36x = 17,109,996.31
  5. Step 5: Solve for x
    x = 17,109,996.31/5,342.36
  6. Step 6: Final answer
    x = 3,202.71

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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.