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Finding the Fourth Proportional to 3,863.65, 5,334.59 and 3,054.90

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Solution

The fourth proportional to 3,863.65, 5,334.59 and 3,054.90 is: 4,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.65 : 5,334.59 = 3,054.90 : x
  2. Step 2: Convert to fraction form
    3,863.65/5,334.59 = 3,054.90/x
  3. Step 3: Cross multiply
    3,863.65x = 5,334.59 × 3,054.90
  4. Step 4: Simplify right side
    3,863.65x = 16,296,646.63
  5. Step 5: Solve for x
    x = 16,296,646.63/3,863.65
  6. Step 6: Final answer
    x = 4,217.94

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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.