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Finding the Fourth Proportional to 3,854.23, 5,777.81 and 1,388.45

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Solution

The fourth proportional to 3,854.23, 5,777.81 and 1,388.45 is: 2,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.23 : 5,777.81 = 1,388.45 : x
  2. Step 2: Convert to fraction form
    3,854.23/5,777.81 = 1,388.45/x
  3. Step 3: Cross multiply
    3,854.23x = 5,777.81 × 1,388.45
  4. Step 4: Simplify right side
    3,854.23x = 8,022,200.29
  5. Step 5: Solve for x
    x = 8,022,200.29/3,854.23
  6. Step 6: Final answer
    x = 2,081.40

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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.