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Finding the Fourth Proportional to 4,195.68, 5,790.16 and 2,427.84

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Solution

The fourth proportional to 4,195.68, 5,790.16 and 2,427.84 is: 3,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.68 : 5,790.16 = 2,427.84 : x
  2. Step 2: Convert to fraction form
    4,195.68/5,790.16 = 2,427.84/x
  3. Step 3: Cross multiply
    4,195.68x = 5,790.16 × 2,427.84
  4. Step 4: Simplify right side
    4,195.68x = 14,057,582.05
  5. Step 5: Solve for x
    x = 14,057,582.05/4,195.68
  6. Step 6: Final answer
    x = 3,350.49

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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.