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Finding the Fourth Proportional to 3,135.96, 4,327.74 and 1,809.84

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Solution

The fourth proportional to 3,135.96, 4,327.74 and 1,809.84 is: 2,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.96 : 4,327.74 = 1,809.84 : x
  2. Step 2: Convert to fraction form
    3,135.96/4,327.74 = 1,809.84/x
  3. Step 3: Cross multiply
    3,135.96x = 4,327.74 × 1,809.84
  4. Step 4: Simplify right side
    3,135.96x = 7,832,516.96
  5. Step 5: Solve for x
    x = 7,832,516.96/3,135.96
  6. Step 6: Final answer
    x = 2,497.65

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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.