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Finding the Fourth Proportional to 3,888.96, 5,832.60 and 1,424.92

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Solution

The fourth proportional to 3,888.96, 5,832.60 and 1,424.92 is: 2,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.96 : 5,832.60 = 1,424.92 : x
  2. Step 2: Convert to fraction form
    3,888.96/5,832.60 = 1,424.92/x
  3. Step 3: Cross multiply
    3,888.96x = 5,832.60 × 1,424.92
  4. Step 4: Simplify right side
    3,888.96x = 8,310,988.39
  5. Step 5: Solve for x
    x = 8,310,988.39/3,888.96
  6. Step 6: Final answer
    x = 2,137.07

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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.